Some reducible Specht modules
نویسندگان
چکیده
منابع مشابه
Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملN ov 2 00 8 Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1 Matthew
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملN ov 2 00 8 Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملSpecht modules and chromatic polynomials
An explicit formula for the chromatic polynomials of certain families of graphs, called ‘bracelets’, is obtained. The terms correspond to irreducible representations of symmetric groups. The theory is developed using the standard bases for the Specht modules of representation theory, and leads to an effective means of calculation. MSC 2000: 05C15, 05C50.
متن کاملGraded Specht Modules
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we explain how to grade Specht modules over these algebras.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2003
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00537-4