Schur Algebras and Representation Theory (Hardcover) (ISBN-13: 9780521415910)

Schur algebras are an algebraic system that provide a link between the representation theory of the symmetric and general linear groups. Dr. Martin gives a self-contained account of this algebra and those links, covering the basic ideas and their quantum analogues. He discusses not only the usual representation-theoretic topics (such as constructions of irreducible modules, the structure of blocks containing them, decomposition numbers and so on) but also the intrinsic properties of Schur algebras, leading to a discussion of their cohomology theory. He also investigates the relationship between Schur algebras and other algebraic structures. Throughout, the approach uses combinatorial language where possible, thereby making the presentation accessible to graduate students. Some topics require results from algebraic group theory, which are contained in an appendix.

Author: Stuart Martin, Martin Stuart
ISBN-10: 0521415918
ISBN-13: 9780521415910
Publisher: Cambridge University Press
Language: English
Published: 01/28/1994
Pages: 252
Format: Hardcover
Weight: 1.19lbs
Size: 9.00h x 6.00w x 0.69d