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math.RT2022
On orthogonal projections related to representations of the Hecke algebra on a tensor space
Andrei Bytsko
We consider the problem of finding orthogonal projections of a rank that give rise to representations of the Hecke algebra in which the generators of the algebra a…
math.RT2022
Two relations for the antisymmetrizer in the Hecke algebra
Andrei Bytsko
We prove two relations for the antisymmetrizer in the Hecke algebra and derive certain restrictions imposed by these relations on unitary representations of the Hecke algebra on te…