This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more ...
Read More
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.
Read Less
Add this copy of Introduction to Lie Algebras and Representation Theory to cart. $39.00, like new condition, Sold by BooXX in Stock rated 4.0 out of 5 stars, ships from DEKALB, IL, UNITED STATES, published 1973 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
As New. Textbook. Huge heavy copy, oversized; Pre owned; with all clean pages; no names no writing; the yellow Springer covers easily pick up off colors: slight cover wear! all clean all as new; I ship daily at 0900 CT IL USA;
Add this copy of Introduction to Lie Algebras and Representation Theory to cart. $39.75, like new condition, Sold by Zebras Books rated 5.0 out of 5 stars, ships from Somerset, NJ, UNITED STATES, published 1973 by Springer.
Add this copy of Introduction to Lie Algebras and Representation Theory to cart. $50.01, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1973 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Trade paperback (US). Glued binding. 173 p. Contains: Unspecified. Graduate Texts in Mathematics, 9. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Introduction to Lie Algebras and Representation Theory to cart. $52.00, very good condition, Sold by BookHouse On-Line rated 5.0 out of 5 stars, ships from Minneapolis, MN, UNITED STATES, published 1973 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very Good. Size: 6x0x9; Very good-paperback copy (NOT ex-library). Light foxing to top page block. Some sunning to wraps. Else in great shape. Spine is uncreased, binding tight and sturdy; text also very good. Shelfwear is very minor. A solid copy. Ships same or next business day from Dinkytown in Minneapolis, Minnesota.
Add this copy of Introduction to Lie Algebras and Representation Theory to cart. $65.70, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1973 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 173 p. Contains: Unspecified. Graduate Texts in Mathematics, 9. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
