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math.RT2016
Quiver Hecke algebras for alternating groups
Clinton Boys, Andrew Mathas
The main result of this paper shows that, over large enough fields of characteristic different from , the alternating Hecke algebras are -graded algebras that are is…
math.RT2015
Alternating quiver Hecke algebras
Clinton Boys
For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternat…
math.RT2015
Semisimple representations of alternating cyclotomic Hecke algebras
Clinton Boys
We define alternating cyclotomic Hecke algebras in higher levels as subalgebras of cyclotomic Hecke algebras under an analogue of Goldman's hash involution. We compute the rank of…