CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Affine and cyclotomic BMW algebras Fred Goodman, University of Iowa
August 30, 2011 Math 350 2-3pm	Abstract The Birman--Murakami--Wenzl algebra (or BMW algebra for short) plays an important role in knot theoretic invariants and in centralizer algebras for quantum groups. It may be defined either by (rather complicated) generators and relations, or as an algebra of diagrams with a pictorially defined multiplication. Affine and cyclotomic Hecke algebras are related to the Hecke algebras of type A in the same way that the wreath products Z \wr S_n and (Z/rZ) \wr S_n are related to the symmetric group S_n. The affine and cyclotomic BMW algebras discussed in this talk are BMW analogues of affine and cyclotomic Hecke algebras.

Affine and cyclotomic BMW algebras

Fred Goodman, University of Iowa

August 30, 2011

Math 350

2-3pm

Abstract

The Birman--Murakami--Wenzl algebra (or BMW algebra for short) plays an important role in knot theoretic invariants and in centralizer algebras for quantum groups. It may be defined either by (rather complicated) generators and relations, or as an algebra of diagrams with a pictorially defined multiplication. Affine and cyclotomic Hecke algebras are related to the Hecke algebras of type A in the same way that the wreath products Z \wr S_n and (Z/rZ) \wr S_n are related to the symmetric group S_n. The affine and cyclotomic BMW algebras discussed in this talk are BMW analogues of affine and cyclotomic Hecke algebras.