Schur algebras and representation theory
著者
書誌事項
Schur algebras and representation theory
（Cambridge tracts in mathematics, 112）
Cambridge University Press, 1993
大学図書館所蔵 件 / 全65件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 220-226) , notation and terms indexes (p. 227-232)
内容説明・目次
内容説明
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.
目次
- Introduction
- 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
- References
- Indexes.
「Nielsen BookData」 より