Classification of Pseudo-reductive Groups by Brian Conrad
In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic.-
Moments, Monodromy, and Perversity
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The Master Equation and the Convergence Problem in Mean Field Games
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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Lectures on Curves on an Algebraic Surface
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Intermittent Convex Integration for the 3D Euler Equations
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Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik
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The Einstein-Klein-Gordon Coupled System
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A Hierarchy of Turing Degrees
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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems
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Dynamics in One Complex Variable
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Elementary Differential Topology
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An Introduction to G-Functions
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Some Problems of Unlikely Intersections in Arithmetic and Geometry
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The Norm Residue Theorem in Motivic Cohomology
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The Structure of Groups with a Quasiconvex Hierarchy
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Lectures on P-Adic L-Functions
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Curvature and Betti Numbers
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Radically Elementary Probability Theory
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Period Spaces for p-divisible Groups
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Exponential Sums and Differential Equations
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Functional Operators, Volume 2
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Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
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The Decomposition of Global Conformal Invariants
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Weyl Group Multiple Dirichlet Series
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Green's Function Estimates for Lattice Schroedinger Operators and Applications. (AM-158)
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Automata Studies
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Arithmetic and Geometry
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Stationary Processes and Prediction Theory
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Arithmetic Moduli of Elliptic Curves
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Flows on Homogeneous Spaces
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Seminar on Singularities of Solutions of Linear Partial Differential Equations
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Functional Operators, Volume 1
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Contributions to Fourier Analysis
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Unipotent Ideals and Harish-Chandra Bimodules
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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time
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Non-Archimedean Tame Topology and Stably Dominated Types
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The p-adic Simpson Correspondence
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The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
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Contributions to the Theory of Games, Volume IV
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Seminar on Micro-Local Analysis
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Contributions to the Theory of Games, Volume II
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Euler Systems
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Moduli Stacks of Etale ( , )-Modules and the Existence of Crystalline Lifts
This book is beautiful and will be at the origin of many advances in the general theory of arbitrary algebraic groups--Bertrand Remy, MathSciNet
Brian Conrad is professor of mathematics at Stanford University. Gopal Prasad is the Raoul Bott Professor of Mathematics at the University of Michigan.
| SKU | Unavailable |
| ISBN 13 | 9780691167930 |
| ISBN 10 | 0691167931 |
| Title | Classification of Pseudo-reductive Groups |
| Author | Brian Conrad |
| Series | Annals Of Mathematics Studies |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Princeton University Press |
| Year published | 2015-11-10 |
| Number of pages | 256 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |