Representations of Algebraic Groups
Representations of Algebraic Groups

Author: Jens Carsten Jantzen

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 594

ISBN-13: 082184377X

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Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Algebraic Groups
Algebraic Groups

Author: J. S. Milne

Publisher: Cambridge University Press

Published: 2017-09-21

Total Pages: 665

ISBN-13: 1107167485

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

Algebraic Groups and Lie Groups
Algebraic Groups and Lie Groups

Author: Gus Lehrer

Publisher: Cambridge University Press

Published: 1997-01-23

Total Pages: 396

ISBN-13: 9780521585323

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This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometic, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz connections between representation theory and the structure and geometry of algebraic groups. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.

An Introduction to Algebraic Geometry and Algebraic Groups
An Introduction to Algebraic Geometry and Algebraic Groups

Author: Meinolf Geck

Publisher: Oxford University Press

Published: 2013-03-14

Total Pages: 321

ISBN-13: 019967616X

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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.

Algebraic Geometry IV
Algebraic Geometry IV

Author: A.N. Parshin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 291

ISBN-13: 366203073X

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Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.

Algebra IV
Algebra IV

Author: A.I. Kostrikin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 210

ISBN-13: 3662028697

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Group theory is one of the most fundamental branches of mathematics. This highly accessible volume of the Encyclopaedia is devoted to two important subjects within this theory. Extremely useful to all mathematicians, physicists and other scientists, including graduate students who use group theory in their work.