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 ...
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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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Add this copy of Representations of Lie Algebras to cart. $66.56, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2012 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. Australian Mathematical Society Lecture Series . 10 b/w illus. 50 exercises. Intended for professional and scholarly audience.
Add this copy of Representations of Lie Algebras: An Introduction to cart. $77.03, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2012 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Line drawings, Unspecified. Australian Mathematical Society Lecture Series . 10 b/w illus. 50 exercises. Intended for professional and scholarly audience.
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Add this copy of Representations of Lie Algebras: an Introduction to cart. $141.94, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Cambridge University Press.
