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On the endomorphism algebra of Specht modules in even characteristic.
- Source :
-
Journal of Algebra . Aug2024, Vol. 652, p20-51. 32p. - Publication Year :
- 2024
-
Abstract
- Over fields of characteristic 2, Specht modules may decompose and there is no upper bound for the dimension of their endomorphism algebra. A classification of the (in)decomposable Specht modules and a closed formula for the dimension of their endomorphism algebra remain two important open problems in the area. In this paper, we introduce a novel description of the endomorphism algebra of the Specht modules and provide infinite families of Specht modules with one-dimensional endomorphism algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODULES (Algebra)
*ENDOMORPHISM rings
*ENDOMORPHISMS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 652
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 177247874
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2024.03.023