The Schur algebra is an algebraic system providing a link between
the representation theory of the symmetric and general linear
groups (both finite and infinite). In the text Dr Martin gives a
full, self-contained account of this algebra and these links,
covering both the basic theory of Schur algebras and related areas.
He discusses the usual representation-theoretic topics such as
constructions of irreducible modules, the blocks containing them,
their modular characters and the problem of computing decomposition
numbers; moreover deeper properties such as the
quasi-hereditariness of the Schur algebra are discussed. The
opportunity is taken to give an account of quantum versions of
Schur algebras and their relations with certain q-deformations of
the coordinate rings of the general linear group. The approach is
combinatorial where possible, making the presentation accessible to
graduate students. This is the first comprehensive text in this
important and active area of research; it will be of interest to
all research workers in representation theory.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Tracts in Mathematics |
| Release date: |
1994 |
| First published: |
1993 |
| Authors: |
Stuart Martin
|
| Dimensions: |
229 x 152 x 17mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
252 |
| ISBN-13: |
978-0-521-41591-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
0-521-41591-8 |
| Barcode: |
9780521415910 |
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