Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus

• Autorzy: Frederick M. Goodman , Holly Hauschild
• Języki publikacji: EN

Abstrakty

EN

The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.

Kategorie tematyczne

• 57M25: Knots and links in S 3
• 81R50: Quantum groups and related algebraic methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 190
• Numer: 1
• Strony: 77-137

Daty

wydano

2006

Twórcy

autor

Frederick M. Goodman

• Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.

autor

Holly Hauschild

• Department of Mathematics, University of California San Diego, La Jolla, CA 92093, U.S.A.

Identyfikatory

DOI

10.4064/fm190-0-4