Simple Singularities and Simple Algebraic Groups PDF Download

Author: P. Slodowy
Publisher: Springer
ISBN: 3540381910
Category : Mathematics
Languages : en
Pages : 187

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Author: Ken Brown
Publisher: Birkhäuser
ISBN: 303488205X
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.

Author: R. Steinberg
Publisher: Springer
ISBN: 3540379312
Category : Mathematics
Languages : en
Pages : 166

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Author: Armand Borel
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: Meinolf Geck
Publisher: Oxford University Press
ISBN: 019967616X
Category : Mathematics
Languages : en
Pages : 321

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Book Description
An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Author: T. Kambayashi
Publisher: Springer
ISBN: 3540372652
Category : Mathematics
Languages : en
Pages : 171

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Author: Jacques Tits
Publisher:
ISBN:
Category : Continuous groups
Languages : en
Pages : 390

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Author: Pavel I. Etingof
Publisher: American Mathematical Soc.
ISBN: 0821853511
Category : Mathematics
Languages : en
Pages : 240

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Book Description
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Author: J. S. Milne
Publisher: Cambridge University Press
ISBN: 1107167485
Category : Mathematics
Languages : en
Pages : 665

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Book Description
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Author: Michel Brion
Publisher: Springer
ISBN: 9386279584
Category : Mathematics
Languages : en
Pages : 125

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Book Description