Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-22T20:11:09.638Z Has data issue: false hasContentIssue false
  • English
  • Français

The Structure of Schur Algebras Sk(n, p) for n ≥ p

Published online by Cambridge University Press:  20 November 2018

Changchang XI
Changchang XI*
Affiliation:
Fakultät für Mathematik Universität Bielefeld Postfach 8640 4800 Bielefeld 1, Germany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

By exploiting the known quasi-heredity of Schur algebras, the structure of basic algebras of the Schur algebras Sk(n, p) for n ≥ p over an algebraically closed field k is completely determined.

Keywords

20C3216A4616A64
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 3 , 01 June 1992 , pp. 665 - 672
Copyright
Copyright © Canadian Mathematical Society 1992

References

[A] Alperin, J.L., Local Representation Theory, Cambridge Univ. Press, 1986.Google Scholar
[CPS] Cline, E., Parshall, B. and Scott, L., Algebraic stratification in representation categories, J. Algebra 117 (1988), 504–521.Google Scholar
[CR] Curtis, C.W. and Reiner, I., Representation Theory of Finite Groups and Associative Algebras, Pure and Applied Mathematics XI(1962).Google Scholar
[DR] Dlab, V. and Ringel, C.M., Quasi-hereditary algebras, 111. J. Math. 33 (1989), 280–291.Google Scholar
[G] Green, J.A., Polynomial Representations of GLn, SLNM 830 (1980).Google Scholar
[K] Kupisch, H., Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen I, J. Reine Angew. Math. 219 (1965), 1–25.Google Scholar
[P] Parshall, B., Finite dimensional algebras and algebraic groups, Contemporary Mathematics 82 (1989), 97- 114.Google Scholar
[R] Ringel, C.M., Tame Algebras and Integral Quadratic Forms, SLNM 1099 (1984).Google Scholar