Geodesic
Two relations for the antisymmetrizer in the Hecke algebra
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 89-98

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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 ${\mathbb C}^n$. 
@article{ZNSL_2021_509_a5,
     author = {A. G. Bytsko},
     title = {Two relations for the antisymmetrizer in the {Hecke} algebra},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {89--98},
     publisher = {mathdoc},
     volume = {509},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a5/}
}
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A. G. Bytsko. Two relations for the antisymmetrizer in the Hecke algebra. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 28, Tome 509 (2021), pp. 89-98. http://geodesic.mathdoc.fr/item/ZNSL_2021_509_a5/