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 tensor powers of the space ℂn.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 509, 2021, pp. 89–98.
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Bytsko, A.G. Two Relations for the Antisymmetrizer in the Hecke Algebra. J Math Sci 275, 283–288 (2023). https://doi.org/10.1007/s10958-023-06680-y
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DOI: https://doi.org/10.1007/s10958-023-06680-y