Rating: 0 out of 5 stars
0 ratings
Ebook573 pages16 hours
Algebraic Groups and Number Theory
Rating: 0 out of 5 stars
()
About this ebook
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Related to Algebraic Groups and Number Theory
Titles in the series (96)
Differential Algebra & Algebraic Groups Theory of Categories Rating: 0 out of 5 stars0 ratingsResolution of Singularities of Embedded Algebraic Surfaces Rating: 0 out of 5 stars0 ratingsInfinite Abelian Groups Rating: 0 out of 5 stars0 ratingsIntroduction to Compact Transformation Groups Rating: 0 out of 5 stars0 ratingsDimension Theory Rating: 0 out of 5 stars0 ratingsHomotopy Theory Rating: 0 out of 5 stars0 ratingsTopological Vector Spaces, Distributions and Kernels Rating: 0 out of 5 stars0 ratingsHomotopy Theory: An Introduction to Algebraic Topology Rating: 0 out of 5 stars0 ratingsTopology Rating: 5 out of 5 stars5/5An Introduction to Classical Complex Analysis Rating: 0 out of 5 stars0 ratingsNumber Theory Rating: 0 out of 5 stars0 ratingsScattering Theory, Revised Edition Rating: 0 out of 5 stars0 ratingsMultiplicative Theory of Ideals Rating: 0 out of 5 stars0 ratingsDistributions and Fourier Transforms Rating: 4 out of 5 stars4/5Theory of H[superscript p] spaces Rating: 0 out of 5 stars0 ratingsPolynomial Identities in Ring Theory Rating: 0 out of 5 stars0 ratingsQuantum Mechanics in Hilbert Space Rating: 0 out of 5 stars0 ratingsSymmetry Groups and Their Applications Rating: 0 out of 5 stars0 ratingsMeasure and Integration Theory on Infinite-Dimensional Spaces: Abstract harmonic analysis Rating: 0 out of 5 stars0 ratingsConnections, Curvature, and Cohomology Volume 3 Rating: 5 out of 5 stars5/5Automata, Languages, and Machines Rating: 4 out of 5 stars4/5Critical Point Theory in Global Analysis and Differential Topology: An introduction Rating: 0 out of 5 stars0 ratingsAutomata, Languages, and Machines Rating: 4 out of 5 stars4/5Noneuclidean Tesselations and Their Groups Rating: 5 out of 5 stars5/5Integral Matrices Rating: 0 out of 5 stars0 ratingsAlgebraic Number Fields Rating: 0 out of 5 stars0 ratingsFormal Groups and Applications Rating: 0 out of 5 stars0 ratingsIntroduction to the Theory of Infiniteseimals Rating: 0 out of 5 stars0 ratings
Related ebooks
Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 Rating: 0 out of 5 stars0 ratingsBanach Spaces Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates Rating: 4 out of 5 stars4/5Ring Theory, 83: Student Edition Rating: 1 out of 5 stars1/5Abstract Analytic Number Theory Rating: 0 out of 5 stars0 ratingsDifferential Equations Rating: 1 out of 5 stars1/5Lectures on the Calculus of Variations Rating: 0 out of 5 stars0 ratingsSemi-Simple Lie Algebras and Their Representations Rating: 4 out of 5 stars4/5Logical Frameworks for Truth and Abstraction: An Axiomatic Study Rating: 0 out of 5 stars0 ratingsEntire Functions Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Euclidean Geometry Rating: 0 out of 5 stars0 ratingsElementary Theory of Numbers: Second English Edition (edited by A. Schinzel) Rating: 0 out of 5 stars0 ratingsTopology and Its Applications Rating: 3 out of 5 stars3/5Non-Euclidean Geometry Rating: 4 out of 5 stars4/5RiemannÆs zeta function Rating: 4 out of 5 stars4/5Kähler Metric and Moduli Spaces: Advanced Studies in Pure Mathematics, Vol. 18.2 Rating: 0 out of 5 stars0 ratingsHilbert Spaces Rating: 0 out of 5 stars0 ratingsEquivalents of the Axiom of Choice, II Rating: 0 out of 5 stars0 ratingsComplex Numbers: Lattice Simulation and Zeta Function Applications Rating: 0 out of 5 stars0 ratingsC*-Algebras and Their Automorphism Groups Rating: 0 out of 5 stars0 ratingsAn Elementary Course in Synthetic Projective Geometry Rating: 0 out of 5 stars0 ratingsConformal Field Theory and Solvable Lattice Models Rating: 0 out of 5 stars0 ratingsIntroduction to Algebraic Geometry and Algebraic Groups Rating: 0 out of 5 stars0 ratingsAbstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory Rating: 3 out of 5 stars3/5An Introduction to Finite Projective Planes Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratings
Mathematics For You
Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsRelativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsAlgebra I For Dummies Rating: 4 out of 5 stars4/5
Related podcast episodes
Mathematics Unbound: The Life and Legacy of John Horton Conway 0% found this document usefulEdward Frenkel: Infinity, String Theory, Death, The Self 0% found this document usefulEp. 48: The Nimzo & Queen's Indian Defenses: A Complete System Against 1. d4 0% found this document usefulWhat is Abstract Algebra? - Group Theory and the 196,883-Dimensional "Monster" 0% found this document usefulEpisode 175: AiA 174: Reducing Boilerplate of Redux/NGRX Patterns in Angular with Austin McDaniel 0% found this document usefulWhat is the Standard Model of Particle Physics? 0% found this document usefulAnalytical Digests and Finishes with Pim van Geffen 0% found this document useful
Related articles
Smaller Is Better: Why Finite Number Systems Pack More Punch QuantaArticle
Smaller Is Better: Why Finite Number Systems Pack More Punch
Feb 11, 2019
4 min readWhy Mathematicians Should Stop Naming Things After Each Other NautilusArticle
Why Mathematicians Should Stop Naming Things After Each Other
Sep 2, 2020
Any student of modern math must know what it feels like to drown in a well of telescoping terminology. For a high-profile example, let’s take the Calabi-Yau manifold, made famous by string theory. A Calabi-Yau manifold is a compact, complex Kähler ma
6 min readVisionary Mathematician Vladimir Voevodsky Dies at 51 QuantaArticle
Visionary Mathematician Vladimir Voevodsky Dies at 51
Oct 11, 2017
3 min readThe Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool. NautilusArticle
The Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool.
May 1, 2014
Early in their training, many physics students come across the idea of spherical cows. Cows in the real world—even at their most plump and well-fed—are hardly spherical, and this makes it tricky to calculate things like, say, how their volume or surf
11 min readHow a Hypothesis Can Be Neither True Nor False NautilusArticle
How a Hypothesis Can Be Neither True Nor False
Apr 9, 2016
4 min readMathematicians Crack the Cursed Curve QuantaArticle
Mathematicians Crack the Cursed Curve
Dec 7, 2017
3 min readPhysicists Attack Math’s $1,000,000 Question QuantaArticle
Physicists Attack Math’s $1,000,000 Question
Apr 4, 2017
Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.
4 min readKolmogorov Complexity and Our Search for Meaning NautilusArticle
Kolmogorov Complexity and Our Search for Meaning
Aug 2, 2018
Was it a chance encounter when you met that special someone or was there some deeper reason for it? What about that strange dream last night—was that just the random ramblings of the synapses of your brain or did it reveal something deep about your u
8 min readThe Impossible Mathematics of the Real World NautilusArticle
The Impossible Mathematics of the Real World
Jun 8, 2017
Using stiff paper and transparent tape, Craig Kaplan assembles a beautiful roundish shape that looks like a Buckminster Fuller creation or a fancy new kind of soccer ball. It consists of four regular dodecagons (12-sided polygons with all angles and
6 min readFormer NFL Player Urschel Sells Virtue Of Math To Youngsters TechLife NewsArticle
Former NFL Player Urschel Sells Virtue Of Math To Youngsters
Dec 12, 2020
3 min readThe Twin Prime Hero: Rags, riches, and fame in mathematics. NautilusArticle
The Twin Prime Hero: Rags, riches, and fame in mathematics.
Dec 29, 2016
Yitang “Tom” Zhang spent the seven years following the completion of his Ph.D. in mathematics floating between Kentucky and Queens, working for a chain of Subway restaurants, and doing odd accounting work. Now he is on a lecture tour that includes st
8 min readImaginary Numbers May Be Essential for Describing Reality QuantaArticle
Imaginary Numbers May Be Essential for Describing Reality
Mar 3, 2021
4 min readHow Physics Is Like Three-Chord Rock: Like a set of common chords, the same math appears in diverse fields of physics. NautilusArticle
How Physics Is Like Three-Chord Rock: Like a set of common chords, the same math appears in diverse fields of physics.
Jun 12, 2014
A few years back, 12 million of us clicked over to watch the “Pachelbel Rant” on YouTube. You might remember it. Strumming repetitive chords on his guitar, comedian Rob Paravonian confessed that when he was a cellist, he couldn’t stand the Pachelbel
6 min readMath After COVID-19 QuantaArticle
Math After COVID-19
Apr 28, 2020
4 min readThe Deepest Uncertainty: When a hypothesis is neither true nor false. NautilusArticle
The Deepest Uncertainty: When a hypothesis is neither true nor false.
Jun 6, 2013
Georg Cantor died in 1918 in a sanatorium in Halle, Germany. A pre-eminent mathematician, he had laid the foundation for the theory of infinite numbers in the 1870s. At the time, his ideas received hostile opposition from prominent mathematicians in
4 min readRobert Langlands, Mathematical Visionary, Wins the Abel Prize QuantaArticle
Robert Langlands, Mathematical Visionary, Wins the Abel Prize
Mar 20, 2018
4 min readHow Mathematicians Use Homology to Make Sense of Topology QuantaArticle
How Mathematicians Use Homology to Make Sense of Topology
May 11, 2021
1 min readU.S. Mathematician Becomes First Woman To Win Abel Prize, 'Math's Nobel' NPRArticle
U.S. Mathematician Becomes First Woman To Win Abel Prize, 'Math's Nobel'
Mar 19, 2019
"I find that I am bored with anything I understand," Karen Uhlenbeck once said. That sentiment is part of why she won what many call the Nobel of mathematics Tuesday.
3 min readContemplating Scale Australian Model Railway MagazineArticle
Contemplating Scale
Jan 15, 2019
About three decades ago I took what was to turn out to be one of the really important steps in my development as a modeller and joined a local model railway club. The club in question was the Wyong and District Model Railway Club which still exists o
9 min readCryptic Classroom #2: Double Definitions Games World of PuzzlesArticle
Cryptic Classroom #2: Double Definitions
Aug 12, 2021
3 min readSources WoodsmithArticle
Sources
Mar 8, 2022
Most of the materials and supplies you’ll need to build the projects are available at hardware stores or home centers. For specific products or hard-to-find items, take a look at the sources listed here. You’ll find each part number listed by the com
1 min readThe Complete Spanner’s Manual Vespa ‘Wideframe’ Engines ScooteringArticle
The Complete Spanner’s Manual Vespa ‘Wideframe’ Engines
Mar 28, 2024
3 min readAcer-Ferrous Sector Australian Wood ReviewArticle
Acer-Ferrous Sector
Nov 18, 2020
2 min readYOUR BLADE SHOW GUIDE TO BOOTH & TABLE EXHIBITORS* BladeArticle
YOUR BLADE SHOW GUIDE TO BOOTH & TABLE EXHIBITORS*
May 16, 2023
Exhibitor Name. . . . . . . . . . . . . . . . . . . . . . . . Space Id 3LEAF Customs. . . . . . . . . . . . . . . . . . . . . . . . . . .. 2414 A.G. Russell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1610 Abrams & Co. ...............
58 min readClever Girl RecoilArticle
Clever Girl
Oct 4, 2019
We try to make sure that every entry in the Buildsheet column has a purpose or desired end use that appropriately shapes the build itself. In this case, the idea came to us while coaching a new shooter with little-to-no experience running carbines in
3 min readLearning Zone Guitar TechniquesArticle
Learning Zone
Jan 15, 2020
1 min readArchery Books Bow InternationalArticle
Archery Books
Oct 31, 2019
EDITION 2019, 3rd Edition (first published 2009) AUTHOR KiSik Lee and Tyler Benner. Paperback, 3rd edition is 288 pages PUBLISHER Astra Archery Total Archery is a book we had known of for some time but had never considered buying. Perhaps largely
3 min readUsing Calc For Serious Mathematics Work Linux FormatArticle
Using Calc For Serious Mathematics Work
Mar 10, 2020
10 min readSabrent Rocket 4 Plus NVMe SSD: Fast on PCIe 4, fast on PCIe 3 PCWorldArticle
Sabrent Rocket 4 Plus NVMe SSD: Fast on PCIe 4, fast on PCIe 3
Feb 2, 2021
2 min readBabbage And Running His Many Engines Linux FormatArticle
Babbage And Running His Many Engines
Nov 16, 2021
Mike Bedford Like most of us, Mike tended to think of the likes of Alan Turing and John von Neumann as the pioneers of computing, so delving further into Charles Babbage’s creations was truly inspiring. Discussion about the first ever computer often
11 min read
Reviews for Algebraic Groups and Number Theory
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Algebraic Groups and Number Theory - Vladimir Platonov
Enjoying the preview?
Page 1 of 1