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math.RT2015
Modules for Yokonuma-type Hecke algebras
Ojas Dave, J. Matthew Douglass
This paper describes the module categories for a family of generic Hecke algebras that specialize to the complex reflection groups G(r,1,n) and to the certain endomorphism rings of…
math.RT2015
Schur-Weyl duality and the free Lie algebra
Stephen Doty, J. Matthew Douglass
We prove an analogue of Schur-Weyl duality for the space of homogeneous Lie polynomials of degree r in n variables.
math.RT2015
Restricting invariants of unitary reflection groups
Nils Amend, Angela Berardinelli, J. Matthew Douglass +1
Suppose that G is a finite, unitary reflection group acting on a complex vector space V and X is the fixed point subspace of an element of G. Define N to be the setwise stabilizer…