Representations of Algebraic Groups

Representations of Algebraic Groups
Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
Total Pages: 594
Release: 2003
Genre: Mathematics
ISBN: 082184377X

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
Total Pages: 665
Release: 2017-09-21
Genre: Mathematics
ISBN: 1107167485

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
Total Pages: 396
Release: 1997-01-23
Genre: Mathematics
ISBN: 9780521585323

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.

Algebraic Geometry IV

Algebraic Geometry IV
Author: A.N. Parshin
Publisher: Springer Science & Business Media
Total Pages: 291
Release: 2012-12-06
Genre: Mathematics
ISBN: 366203073X

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.

An Introduction to Algebraic Geometry and Algebraic Groups

An Introduction to Algebraic Geometry and Algebraic Groups
Author: Meinolf Geck
Publisher: Oxford University Press
Total Pages: 321
Release: 2013-03-14
Genre: Mathematics
ISBN: 019967616X

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.

Algebra IV

Algebra IV
Author: A.I. Kostrikin
Publisher: Springer Science & Business Media
Total Pages: 210
Release: 2012-12-06
Genre: Mathematics
ISBN: 3662028697

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.