Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584483 | Journal of Algebra | 2015 | 15 Pages |
Abstract
Let G be a connected, semisimple and simply connected algebraic group and G(q)G(q) the corresponding finite Chevalley group over the finite field of order q=prq=pr. In a recent paper the author determined a direct sum decomposition of the kG(q)kG(q)-submodule generated by a highest weight vector of a certain Weyl module when q is not too small, which is a generalization of Pillen's result in 1997. In this article, we claim that the result does not need the assumption on q.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yutaka Yoshii,