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Bases for certain cohomology representations of the symmetric group
Anthony Henderson
We give a combinatorial description (including explicit differential-form bases) for the cohomology groups of the space of n distinct nonzero complex numbers, with coefficients in…
Representations of wreath products on cohomology of De Concini-Procesi compactifications
Anthony Henderson
The wreath product W(r,n) of the cyclic group of order r and the symmetric group S_n acts on the corresponding projective hyperplane complement, and on its wonderful compactificati…
Two-row nilpotent orbits of cyclic quivers
Anthony Henderson
We prove that the local intersection cohomology of nilpotent orbit closures of cyclic quivers is trivial when the two orbits involved correspond to partitions with at most two rows…
K^F-invariants in irreducible representations of G^F, when G=GL_n
Anthony Henderson
Using a general result of Lusztig, we give explicit formulas for the dimensions of K^F-invariants in irreducible representations of G^F, when G=GL_n, F:G->G is a Frobenius map, and…