Lectures on Sl_2(c)-Modules (Hardcover)

Lectures on Sl_2(c)-Modules By Volodymyr Mazorchuk Cover Image
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This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains classical contents including the description of all finite-dimensional modules and an introduction to the universal enveloping algebras with its primitive ideals, alongside non-classical contents including the description of all simple weight modules, the category of all weight modules, a detailed description of the category O, and especially, a description of all simple modules. The book also contains an account of a new research direction: the categorification of simple finite-dimensional modules.

Product Details
ISBN: 9781848165175
ISBN-10: 184816517X
Publisher: Imperial College Press
Publication Date: February 28th, 2010
Pages: 276
Language: English