14 citations · 53 across the 54 of their papers we have counts for
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Regular Unipotent Invariants on the Wonderful Compactification of Complete Binary Forms
Mahir Bilen Can, Roger Howe, Michael Joyce
We investigate the topology of the closure in a wonderful compactification of the set of unipotent-invariant bilinear forms.
Unipotent Invariant Matrices
Mahir Bilen Can, Roger Howe, Michael Joyce
We describe the variety of fixed points of a unipotent operator acting on the space of matrices. We compute the determinant and the rank of a generic (symmetric, or anti-symmetric)…
Partitions, rooks, and symmetric functions in noncommuting variables
Mahir Bilen Can, Bruce E. Sagan
Let denote the set of all set partitions of . We consider two subsets of , one connected to rook theory and one associated with symmetric functions in…
Supersolvable lattices of -classes
Mahir Bilen Can
The purpose of this article is to investigate the combinatorial properties of the cross section lattice of a -irreducible monoid associated with a semisimple algebraic group of…
From Parking Functions to Gelfand Pairs
Kürşat Aker, Mahir Bilen Can
A pair of a group and its subgroup is called a Gelfand pair if the induced trivial representation of on is multiplicity free. Let be a sequence of positive…
The Rook Monoid is Lexicographically Shellable
Mahir Bilen Can
We prove that the Bruhat-Chevalley-Renner order on the rook monoid is EL-shellable. We determine the homeomorphism type of the associated order complex.