Representation Theory of Algebraic Groups and Quantum Groups

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Author :
Release : 2004
Genre : Computers
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Book Rating : /5 ( reviews)

Representation Theory of Algebraic Groups and Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory of Algebraic Groups and Quantum Groups write by Toshiaki Shoji. This book was released on 2004. Representation Theory of Algebraic Groups and Quantum Groups available in PDF, EPUB and Kindle. A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.

Representations of Algebraic Groups, Quantum Groups, and Lie Algebras

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Release : 2006
Genre : Mathematics
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Book Rating : 241/5 ( reviews)

Representations of Algebraic Groups, Quantum Groups, and Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Algebraic Groups, Quantum Groups, and Lie Algebras write by Georgia Benkart. This book was released on 2006. Representations of Algebraic Groups, Quantum Groups, and Lie Algebras available in PDF, EPUB and Kindle. Covers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

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Release : 2004
Genre : Mathematics
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Book Rating : 169/5 ( reviews)

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry write by Vlastimil Dlab. This book was released on 2004. Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry available in PDF, EPUB and Kindle. These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Representation Theory of Algebraic Groups and Quantum Groups

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Release : 2010-11-25
Genre : Mathematics
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Book Rating : 973/5 ( reviews)

Representation Theory of Algebraic Groups and Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory of Algebraic Groups and Quantum Groups write by Akihiko Gyoja. This book was released on 2010-11-25. Representation Theory of Algebraic Groups and Quantum Groups available in PDF, EPUB and Kindle. Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics

Algebras of Functions on Quantum Groups: Part I

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Release : 1998
Genre : Mathematics
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Book Rating : 360/5 ( reviews)

Algebras of Functions on Quantum Groups: Part I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras of Functions on Quantum Groups: Part I write by Leonid I. Korogodski. This book was released on 1998. Algebras of Functions on Quantum Groups: Part I available in PDF, EPUB and Kindle. The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.