Computation with Linear Algebraic Groups

Computation with Linear Algebraic Groups

Author: Willem Adriaan de Graaf

Publisher: CRC Press

Published: 2017-08-07

Total Pages: 324

ISBN-13: 1498722911

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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.


Book Synopsis Computation with Linear Algebraic Groups by : Willem Adriaan de Graaf

Download or read book Computation with Linear Algebraic Groups written by Willem Adriaan de Graaf and published by CRC Press. This book was released on 2017-08-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computation with Linear Algebraic Groups

Computation with Linear Algebraic Groups

Author: Willem A. De Graaf

Publisher: Chapman & Hall/CRC

Published: 2017

Total Pages: 0

ISBN-13: 9781498722902

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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.


Book Synopsis Computation with Linear Algebraic Groups by : Willem A. De Graaf

Download or read book Computation with Linear Algebraic Groups written by Willem A. De Graaf and published by Chapman & Hall/CRC. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebraic Groups

Linear Algebraic Groups

Author: T.A. Springer

Publisher: Springer Science & Business Media

Published: 2010-10-12

Total Pages: 334

ISBN-13: 0817648402

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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.


Book Synopsis Linear Algebraic Groups by : T.A. Springer

Download or read book Linear Algebraic Groups written by T.A. Springer and published by Springer Science & Business Media. This book was released on 2010-10-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Their Representations

Linear Algebraic Groups and Their Representations

Author: Richard S. Elman

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 215

ISBN-13: 0821851616

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* Brings together a wide variety of themes under a single unifying perspective The proceedings of a conference on Linear algebraic Groups and their Representations - the text gets to grips with the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics.


Book Synopsis Linear Algebraic Groups and Their Representations by : Richard S. Elman

Download or read book Linear Algebraic Groups and Their Representations written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 1993 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Brings together a wide variety of themes under a single unifying perspective The proceedings of a conference on Linear algebraic Groups and their Representations - the text gets to grips with the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics.

Endomorphisms of Linear Algebraic Groups

Endomorphisms of Linear Algebraic Groups

Author: Robert Steinberg

Publisher: American Mathematical Soc.

Published: 1968

Total Pages: 113

ISBN-13: 0821812807

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Book Synopsis Endomorphisms of Linear Algebraic Groups by : Robert Steinberg

Download or read book Endomorphisms of Linear Algebraic Groups written by Robert Steinberg and published by American Mathematical Soc.. This book was released on 1968 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebraic Groups

Linear Algebraic Groups

Author: James E. Humphreys

Publisher:

Published: 1975-05-13

Total Pages: 268

ISBN-13: 9781468494440

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Book Synopsis Linear Algebraic Groups by : James E. Humphreys

Download or read book Linear Algebraic Groups written by James E. Humphreys and published by . This book was released on 1975-05-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Groups and Their Birational Invariants

Algebraic Groups and Their Birational Invariants

Author: V. E. Voskresenskii

Publisher: American Mathematical Soc.

Published: 2011-10-06

Total Pages: 234

ISBN-13: 0821872885

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Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book--which can be viewed as a significant revision of the author's book, Algebraic Tori (Nauka, Moscow, 1977)--studies birational properties of linear algebraic groups focusing on arithmetic applications. The main topics are forms and Galois cohomology, the Picard group and the Brauer group, birational geometry of algebraic tori, arithmetic of algebraic groups, Tamagawa numbers, $R$-equivalence, projective toric varieties, invariants of finite transformation groups, and index-formulas. Results and applications are recent. There is an extensive bibliography with additional comments that can serve as a guide for further reading.


Book Synopsis Algebraic Groups and Their Birational Invariants by : V. E. Voskresenskii

Download or read book Algebraic Groups and Their Birational Invariants written by V. E. Voskresenskii and published by American Mathematical Soc.. This book was released on 2011-10-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book--which can be viewed as a significant revision of the author's book, Algebraic Tori (Nauka, Moscow, 1977)--studies birational properties of linear algebraic groups focusing on arithmetic applications. The main topics are forms and Galois cohomology, the Picard group and the Brauer group, birational geometry of algebraic tori, arithmetic of algebraic groups, Tamagawa numbers, $R$-equivalence, projective toric varieties, invariants of finite transformation groups, and index-formulas. Results and applications are recent. There is an extensive bibliography with additional comments that can serve as a guide for further reading.

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.


Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen

Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebraic Groups

Linear Algebraic Groups

Author: Armand Borel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 301

ISBN-13: 1461209412

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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.


Book Synopsis Linear Algebraic Groups by : Armand Borel

Download or read book Linear Algebraic Groups written by Armand Borel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.


Book Synopsis Algebraic Groups by : J. S. Milne

Download or read book Algebraic Groups written by J. S. Milne and published by Cambridge University Press. This book was released on 2017-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.