ENGLISH

Schur Algebras and Representation Theory

By Stuart Martin

Book information

Publisher
Cambridge University Press
Year
1994
ISBN
9780521415910, 9780511470899, 0521415918, 0511470894
LCC
QA176 .M37 1993
Language
english
Format
DJVU
Filesize
1 MB (1055144 bytes)
Series
Cambridge Tracts in Mathematics 112
Pages
248\248
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

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.

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