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math.RT2025
A basis and Schur-Weyl duality for the loop Hecke algebra
Geoffrey Janssens, Abel Lacabanne, Léo Schelstraete +1
The loop Hecke algebra is a generalization of the Hecke algebra to the loop braid group, introduced by Damiani, Martin and Rowell. We give a new presentation of the loop Hecke alge…
math.RT2025
Global representation theory: Homological foundations
Miguel Barrero, Tobias Barthel, Luca Pol +2
A global representation is a compatible collection of representations of the outer automorphism groups of the groups belonging to some collection of finite groups . Gl…
math.RT2025★ 1 cited
Seminormal bases of cyclotomic Hecke-Clifford algebras
Shuo Li, Lei Shi
In this paper, we describe actions of standard generators on certain bases of simple modules for semisimple cyclotomic Hecke-Clifford superalgebras. As applications, we explicitly…