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

Author:

Gotin Konstantin12

Affiliation:

1. Department of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk, Russia

2. Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk, Russia

Abstract

In 2011, Bigelow, Ramos and Yi constructed a representation of the group [Formula: see text] to subalgebra of planar diagrams [Formula: see text] of the rook algebra [Formula: see text]. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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