Linear Algebraic Groups

Linear Algebraic Groups PDF
Author: T.A. Springer
Publisher: Springer Science & Business Media
ISBN: 0817648402
Size: 18.29 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 334
View: 2087

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Book Description: The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.

Linear Algebraic Groups

Linear Algebraic Groups PDF
Author: James E. Humphreys
Publisher: Springer Science & Business Media
ISBN: 1468494430
Size: 29.85 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 248
View: 4403

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Book Description: James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main research interests include group theory and Lie algebras, and this graduate level text is an exceptionally well-written introduction to everything about linear algebraic groups.

Linear Algebraic Groups

Linear Algebraic Groups PDF
Author: Armand Borel
Publisher: Springer Science & Business Media
ISBN: 1461209412
Size: 18.74 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 290
View: 7089

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Book Description: This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.

Linear Algebraic Groups And Their Representations

Linear Algebraic Groups and Their Representations PDF
Author: Richard S. Elman
Publisher: American Mathematical Soc.
ISBN: 0821851616
Size: 62.55 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 200
View: 3816

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Book Description: This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics. Linear algebraic groups and their representations interface with a broad range of areas through diverse avenues--with algebraic geometry through moduli spaces, with classical invariant theory through group actions on polynomial rings, with enumerative and combinatorial geometry through flag manifolds, and with theoretical physics through Kac-Moody algebras and quantum groups. Collected here are both surveys and original contributions by eminent specialists, reflecting current developments in the subject. This book is one of the few available sources that brings together such a wide variety of themes under a single unifying perspective.

Einf Hrung In Die Analytische Zahlentheorie

Einf  hrung in die Analytische Zahlentheorie PDF
Author: Komaravolu Chandrasekharan
Publisher: Springer-Verlag
ISBN: 3540348557
Size: 73.44 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 203
View: 2949

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Book Description:

Linear Algebraic Groups And Finite Groups Of Lie Type

Linear Algebraic Groups and Finite Groups of Lie Type PDF
Author: Gunter Malle
Publisher: Cambridge University Press
ISBN: 113949953X
Size: 27.21 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages :
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Book Description: Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

Endomorphisms Of Linear Algebraic Groups

Endomorphisms of Linear Algebraic Groups PDF
Author: Robert Steinberg
Publisher: American Mathematical Soc.
ISBN: 0821812807
Size: 26.38 MB
Format: PDF
Category : Endomorphisms
Languages : en
Pages : 108
View: 3048

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Book Description:

Foundations Of Linear Algebraic Groups

Foundations of Linear Algebraic Groups PDF
Author: Hideki Sawada
Publisher:
ISBN:
Size: 28.22 MB
Format: PDF, ePub, Mobi
Category :
Languages : en
Pages : 100
View: 2307

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Book Description:

Computation With Linear Algebraic Groups

Computation with Linear Algebraic Groups PDF
Author: Willem Adriaan de Graaf
Publisher: CRC Press
ISBN: 1498722911
Size: 58.57 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 324
View: 2486

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Book Description: Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Naive Mengenlehre

Naive Mengenlehre PDF
Author: Paul R. Halmos
Publisher: Vandenhoeck & Ruprecht
ISBN: 9783525405277
Size: 76.88 MB
Format: PDF, ePub, Docs
Category : Arithmetic
Languages : de
Pages : 132
View: 3562

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Book Description: