Representations of Lie Algebras : An Introduction Through gln
Book Details
Format
Paperback / Softback
Book Series
Australian Mathematical Society Lecture Series
ISBN-10
1107653614
ISBN-13
9781107653610
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Aug 16th, 2012
Print length
168 Pages
Weight
252 grams
Dimensions
15.20 x 22.70 x 0.90 cms
Product Classification:
MathematicsAlgebra
Ksh 9,550.00
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Written specifically to introduce advanced undergraduate and beginning graduate students to an important area of mathematics, this book is far more accessible than previous books on Lie algebras. The emphasis is on special cases and explicit calculation, with many examples and exercises with full solutions provided.
This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author''s exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author''s own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.
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