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arXiv · 1009.0414

Twisted Dickson-Mui invariants and the Steinberg module multiplicity

Jinkui Wan·Weiqiang Wang
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Abstract

We determine the invariants, with arbitrary determinant twists, of the parabolic subgroups of the finite general linear group GL_n(q) acting on the tensor product of the symmetric algebra and the exterior algebra of the natural GL_n(q)-module V. In addition, we obtain the graded multiplicity of the Steinberg module of GL_n(q) in the tensor product of the symmetric algebra and the exterior algebra of V, twisted by an arbitrary determinant power.

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BibTeXRIS

Jinkui Wan, Weiqiang Wang. 2011-01-15. Twisted Dickson-Mui invariants and the Steinberg module multiplicity. https://doi.org/10.1017/s0305004111000120

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