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 › рецензирование

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

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10.1142/S0218216517420020

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

В: Journal of Knot Theory and its Ramifications, Том 26, № 6, 1742002, 01.05.2017.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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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

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