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4 papers · 2 filters
The mirabolic Hecke algebra
Daniele Rosso
The Iwahori-Hecke algebra of the symmetric group is the convolution algebra of $\gl_n$-invariant functions on the variety of pairs of complete flags over a finite field. Considerin…
Categorification and Heisenberg doubles arising from towers of algebras
Alistair Savage, Oded Yacobi
The Grothendieck groups of the categories of finitely generated modules and finitely generated projective modules over a tower of algebras can be endowed with (co)algebra structure…
Global Weyl modules for equivariant map algebras
Ghislain Fourier, Nathan Manning, Alistair Savage
Equivariant map algebras are Lie algebras of algebraic maps from a scheme (or algebraic variety) to a target finite-dimensional Lie algebra (in the case of the current paper, we as…
On Branching Rules of Depth-Zero Representations
Monica Nevins
Using Bruhat-Tits theory, we analyse the restriction of depth-zero representations of a semisimple simply connected -adic group to a maximal compact subgroup . We prove t…