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

Konstantin Gotin

doi:10.1142/S0218216517420020

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

Konstantin Gotin

Механико-математический факультет

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

In 2011, Bigelow, Ramos and Yi constructed a representation of the group B_n to subalgebra of planar diagrams ℂP_n of the rook algebra ℂR_n. 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.

Язык оригинала	английский
Номер статьи	1742002
Число страниц	15
Журнал	Journal of Knot Theory and its Ramifications
Том	26
Номер выпуска	6
DOI	https://doi.org/10.1142/S0218216517420020
Состояние	Опубликовано - 1 мая 2017

Доступ к документу

10.1142/S0218216517420020

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Representation of virtual braid groups to rook algebras and virtual links invariants». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

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

@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",

}

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 -