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Lectures on SL2(C)-Modules by Volodymyr Mazorchuk
  

Lectures on SL2(C)-Modules

RRP £72.00

Synopsis

Lectures on SL2(C)-Modules by Volodymyr Mazorchuk

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.

About the Author

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Book Info

Publication date

23rd November 2009

Author

Volodymyr Mazorchuk

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Publisher

Imperial College Press

Format

Hardback
276 pages

Categories

Algebra

ISBN

9781848165175

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