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Representation of virtual braid groups to rook algebras and virtual links invariants. / Gotin, Konstantin.

In: Journal of Knot Theory and its Ramifications, Vol. 26, No. 6, 1742002, 01.05.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Gotin, K 2017, 'Representation of virtual braid groups to rook algebras and virtual links invariants', Journal of Knot Theory and its Ramifications, vol. 26, no. 6, 1742002. https://doi.org/10.1142/S0218216517420020

APA

Gotin, K. (2017). Representation of virtual braid groups to rook algebras and virtual links invariants. Journal of Knot Theory and its Ramifications, 26(6), [1742002]. https://doi.org/10.1142/S0218216517420020

Vancouver

Gotin K. Representation of virtual braid groups to rook algebras and virtual links invariants. Journal of Knot Theory and its Ramifications. 2017 May 1;26(6):1742002. doi: 10.1142/S0218216517420020

Author

Gotin, Konstantin. / Representation of virtual braid groups to rook algebras and virtual links invariants. In: Journal of Knot Theory and its Ramifications. 2017 ; Vol. 26, No. 6.

BibTeX

@article{9142093532e14dff9c0e935b1b91f03f,
title = "Representation of virtual braid groups to rook algebras and virtual links invariants",
abstract = "In 2011, Bigelow, Ramos and Yi constructed a representation of the group Bn to subalgebra of planar diagrams ℂPn of the rook algebra ℂRn. We show that this representation of classical braid groups to the rook algebras can be extended to a representation of the virtual braid groups. This representation is used for constructing invariants of virtual links.",
keywords = "representation of virtual braid group, Rook algebra, virtual knot invariants",
author = "Konstantin Gotin",
year = "2017",
month = may,
day = "1",
doi = "10.1142/S0218216517420020",
language = "English",
volume = "26",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - Representation of virtual braid groups to rook algebras and virtual links invariants

AU - Gotin, Konstantin

PY - 2017/5/1

Y1 - 2017/5/1

N2 - In 2011, Bigelow, Ramos and Yi constructed a representation of the group Bn to subalgebra of planar diagrams ℂPn of the rook algebra ℂRn. We show that this representation of classical braid groups to the rook algebras can be extended to a representation of the virtual braid groups. This representation is used for constructing invariants of virtual links.

AB - In 2011, Bigelow, Ramos and Yi constructed a representation of the group Bn to subalgebra of planar diagrams ℂPn of the rook algebra ℂRn. We show that this representation of classical braid groups to the rook algebras can be extended to a representation of the virtual braid groups. This representation is used for constructing invariants of virtual links.

KW - representation of virtual braid group

KW - Rook algebra

KW - virtual knot invariants

UR - http://www.scopus.com/inward/record.url?scp=85015955153&partnerID=8YFLogxK

U2 - 10.1142/S0218216517420020

DO - 10.1142/S0218216517420020

M3 - Article

AN - SCOPUS:85015955153

VL - 26

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 6

M1 - 1742002

ER -

ID: 10267815