Nilpotent n-tuples in SU(2)

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Nilpotent n-tuples in SU(2). / Antolín-Camarena, Omar; Villarreal, Bernardo.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 63, No. 4, 2020, p. 1005-1030.

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

Harvard

Antolín-Camarena, O & Villarreal, B 2020, 'Nilpotent n-tuples in SU(2)', Proceedings of the Edinburgh Mathematical Society, vol. 63, no. 4, pp. 1005-1030. https://doi.org/10.1017/S0013091520000309

APA

Antolín-Camarena, O., & Villarreal, B. (2020). Nilpotent n-tuples in SU(2). Proceedings of the Edinburgh Mathematical Society, 63(4), 1005-1030. https://doi.org/10.1017/S0013091520000309

Vancouver

Antolín-Camarena O, Villarreal B. Nilpotent n-tuples in SU(2). Proceedings of the Edinburgh Mathematical Society. 2020;63(4):1005-1030. https://doi.org/10.1017/S0013091520000309

Author

Antolín-Camarena, Omar ; Villarreal, Bernardo. / Nilpotent n-tuples in SU(2). In: Proceedings of the Edinburgh Mathematical Society. 2020 ; Vol. 63, No. 4. pp. 1005-1030.

Bibtex

@article{bf4f9f8e5ebc4251986f123810e2d6ef,
title = "Nilpotent n-tuples in SU(2)",
abstract = "We describe the connected components of the space of homomorphisms for a discrete nilpotent group. The connected components arising from homomorphisms with non-abelian image turn out to be homeomorphic to. We give explicit calculations when is a finitely generated free nilpotent group. In the second part of the paper, we study the filtration of the classifying space (introduced by Adem, Cohen and Torres-Giese), showing that for every, the inclusions induce a homology isomorphism with coefficients over a ring in which 2 is invertible. Most of the computations are done for and as well. ",
keywords = "classifying spaces, nilpotent groups, spaces of representations",
author = "Omar Antol{\'i}n-Camarena and Bernardo Villarreal",
year = "2020",
doi = "10.1017/S0013091520000309",
language = "English",
volume = "63",
pages = "1005--1030",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Nilpotent n-tuples in SU(2)

AU - Antolín-Camarena, Omar

AU - Villarreal, Bernardo

PY - 2020

Y1 - 2020

N2 - We describe the connected components of the space of homomorphisms for a discrete nilpotent group. The connected components arising from homomorphisms with non-abelian image turn out to be homeomorphic to. We give explicit calculations when is a finitely generated free nilpotent group. In the second part of the paper, we study the filtration of the classifying space (introduced by Adem, Cohen and Torres-Giese), showing that for every, the inclusions induce a homology isomorphism with coefficients over a ring in which 2 is invertible. Most of the computations are done for and as well.

AB - We describe the connected components of the space of homomorphisms for a discrete nilpotent group. The connected components arising from homomorphisms with non-abelian image turn out to be homeomorphic to. We give explicit calculations when is a finitely generated free nilpotent group. In the second part of the paper, we study the filtration of the classifying space (introduced by Adem, Cohen and Torres-Giese), showing that for every, the inclusions induce a homology isomorphism with coefficients over a ring in which 2 is invertible. Most of the computations are done for and as well.

KW - classifying spaces

KW - nilpotent groups

KW - spaces of representations

UR - http://www.scopus.com/inward/record.url?scp=85093498255&partnerID=8YFLogxK

U2 - 10.1017/S0013091520000309

DO - 10.1017/S0013091520000309

M3 - Journal article

AN - SCOPUS:85093498255

VL - 63

SP - 1005

EP - 1030

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 4

ER -

ID: 257648886