209 citations · 1.5k across the 128 of their papers we have counts for
4 papers · 2 filters
The GL_n(q)-module structure of the symmetric algebra around the Steinberg module
Jinkui Wan, Weiqiang Wang
We determine the graded composition multiplicity in the symmetric algebra S(V) of the natural GL_n(q)-module V, or equivalently in the coinvariant algebra of V, for a large class o…
Twisted Dickson-Mui invariants and the Steinberg module multiplicity
Jinkui Wan, Weiqiang Wang
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…
Spin invariant theory for the symmetric group
Jinkui Wan, Weiqiang Wang
We formulate a theory of invariants for the spin symmetric group in some suitable modules which involve the polynomial and exterior algebras. We solve the corresponding graded mult…
Dualities for Lie superalgebras
Shun-Jen Cheng, Weiqiang Wang
We explain how Lie superalgebras of types gl and osp provide a natural framework generalizing the classical Schur and Howe dualities. This exposition includes a discussion of super…