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.
General
Imprint: |
Imperial College Press
|
Country of origin: |
United Kingdom |
Release date: |
December 2009 |
First published: |
February 2010 |
Authors: |
Volodymyr Mazorchuk
|
Dimensions: |
237 x 161 x 20mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
276 |
ISBN-13: |
978-1-84816-517-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
1-84816-517-X |
Barcode: |
9781848165175 |
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