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.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: January 2009
- format: Paperback
- isbn: 9780521100465
- length: 256 pages
- dimensions: 229 x 152 x 15 mm
- weight: 0.38kg
- availability: Available
Table of Contents
1. Polynomial functions and combinatorics
2. The Schur algebra
3. Representation theory of the Schur algebra
4. Schur functors and the symmetric group
5. Block theory
6. The q-Schur algebra
7. Representation theory of Sq (n, r)
Appendix: a review of algebraic groups
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×