The homology of the Brauer algebras

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The homology of the Brauer algebras. / Boyd, Rachael ; Hepworth, Richard; Patzt, Peter.

In: Selecta Mathematica, Vol. 27, 85, 2021, p. 1-31.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Boyd, R, Hepworth, R & Patzt, P 2021, 'The homology of the Brauer algebras', Selecta Mathematica, vol. 27, 85, pp. 1-31. https://doi.org/10.1007/s00029-021-00697-4

APA

Boyd, R., Hepworth, R., & Patzt, P. (2021). The homology of the Brauer algebras. Selecta Mathematica, 27, 1-31. [85]. https://doi.org/10.1007/s00029-021-00697-4

Vancouver

Boyd R, Hepworth R, Patzt P. The homology of the Brauer algebras. Selecta Mathematica. 2021;27:1-31. 85. https://doi.org/10.1007/s00029-021-00697-4

Author

Boyd, Rachael ; Hepworth, Richard ; Patzt, Peter. / The homology of the Brauer algebras. In: Selecta Mathematica. 2021 ; Vol. 27. pp. 1-31.

Bibtex

@article{91246e92261341369550fd616630e100,
title = "The homology of the Brauer algebras",
abstract = "This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor-groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when the parameter is not invertible, this isomorphism still holds in a range of degrees that increases with n. ",
author = "Rachael Boyd and Richard Hepworth and Peter Patzt",
year = "2021",
doi = "10.1007/s00029-021-00697-4",
language = "English",
volume = "27",
pages = "1--31",
journal = "Selecta Mathematica, New Series",
issn = "1022-1824",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - The homology of the Brauer algebras

AU - Boyd, Rachael

AU - Hepworth, Richard

AU - Patzt, Peter

PY - 2021

Y1 - 2021

N2 - This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor-groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when the parameter is not invertible, this isomorphism still holds in a range of degrees that increases with n.

AB - This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor-groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when the parameter is not invertible, this isomorphism still holds in a range of degrees that increases with n.

U2 - 10.1007/s00029-021-00697-4

DO - 10.1007/s00029-021-00697-4

M3 - Journal article

VL - 27

SP - 1

EP - 31

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

SN - 1022-1824

M1 - 85

ER -

ID: 258770325