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Braid groups in handlebodies and corresponding hecke algebras. / Bardakov, Valeriy G.

Algebraic Modeling of Topological and Computational Structures and Applications. ed. / S Lambropoulou; D Theodorou; P Stefaneas; LH Kauffman. Vol. 219 Springer New York LLC, 2017. p. 189-203 (Springer Proceedings in Mathematics & Statistics; Vol. 219).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Bardakov, VG 2017, Braid groups in handlebodies and corresponding hecke algebras. in S Lambropoulou, D Theodorou, P Stefaneas & LH Kauffman (eds), Algebraic Modeling of Topological and Computational Structures and Applications. vol. 219, Springer Proceedings in Mathematics & Statistics, vol. 219, Springer New York LLC, pp. 189-203, THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015, Athens, Greece, 30.06.2015. https://doi.org/10.1007/978-3-319-68103-0_9

APA

Bardakov, V. G. (2017). Braid groups in handlebodies and corresponding hecke algebras. In S. Lambropoulou, D. Theodorou, P. Stefaneas, & LH. Kauffman (Eds.), Algebraic Modeling of Topological and Computational Structures and Applications (Vol. 219, pp. 189-203). (Springer Proceedings in Mathematics & Statistics; Vol. 219). Springer New York LLC. https://doi.org/10.1007/978-3-319-68103-0_9

Vancouver

Bardakov VG. Braid groups in handlebodies and corresponding hecke algebras. In Lambropoulou S, Theodorou D, Stefaneas P, Kauffman LH, editors, Algebraic Modeling of Topological and Computational Structures and Applications. Vol. 219. Springer New York LLC. 2017. p. 189-203. (Springer Proceedings in Mathematics & Statistics). doi: 10.1007/978-3-319-68103-0_9

Author

Bardakov, Valeriy G. / Braid groups in handlebodies and corresponding hecke algebras. Algebraic Modeling of Topological and Computational Structures and Applications. editor / S Lambropoulou ; D Theodorou ; P Stefaneas ; LH Kauffman. Vol. 219 Springer New York LLC, 2017. pp. 189-203 (Springer Proceedings in Mathematics & Statistics).

BibTeX

@inproceedings{8b84693a599b416fade21da3f5b95584,
title = "Braid groups in handlebodies and corresponding hecke algebras",
abstract = "In this paper we study the kernel of the homomorphism Bg,n→Bn of the braid group Bg,n in the handlebody Hg to the braid group Bn. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra Hg,n(q), which is some analog of the Hecke algebra Hn(q), constructed by the braid group Bn.",
keywords = "KNOT-THEORY",
author = "Bardakov, {Valeriy G.}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015 ; Conference date: 30-06-2015 Through 02-07-2015",
year = "2017",
doi = "10.1007/978-3-319-68103-0_9",
language = "English",
isbn = "9783319681023",
volume = "219",
series = "Springer Proceedings in Mathematics & Statistics",
publisher = "Springer New York LLC",
pages = "189--203",
editor = "S Lambropoulou and D Theodorou and P Stefaneas and LH Kauffman",
booktitle = "Algebraic Modeling of Topological and Computational Structures and Applications",
address = "United States",

}

RIS

TY - GEN

T1 - Braid groups in handlebodies and corresponding hecke algebras

AU - Bardakov, Valeriy G.

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

PY - 2017

Y1 - 2017

N2 - In this paper we study the kernel of the homomorphism Bg,n→Bn of the braid group Bg,n in the handlebody Hg to the braid group Bn. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra Hg,n(q), which is some analog of the Hecke algebra Hn(q), constructed by the braid group Bn.

AB - In this paper we study the kernel of the homomorphism Bg,n→Bn of the braid group Bg,n in the handlebody Hg to the braid group Bn. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra Hg,n(q), which is some analog of the Hecke algebra Hn(q), constructed by the braid group Bn.

KW - KNOT-THEORY

UR - http://www.scopus.com/inward/record.url?scp=85041290829&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-68103-0_9

DO - 10.1007/978-3-319-68103-0_9

M3 - Conference contribution

AN - SCOPUS:85041290829

SN - 9783319681023

VL - 219

T3 - Springer Proceedings in Mathematics & Statistics

SP - 189

EP - 203

BT - Algebraic Modeling of Topological and Computational Structures and Applications

A2 - Lambropoulou, S

A2 - Theodorou, D

A2 - Stefaneas, P

A2 - Kauffman, LH

PB - Springer New York LLC

T2 - THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015

Y2 - 30 June 2015 through 2 July 2015

ER -

ID: 9444922