Fusion procedure for cyclotomic BMW algebras

Abstract

Inspired by the work [IMOg2], in this note, we prove that the pairwise orthogonal primitive idempotents of generic cyclotomic Birman-Murakami-Wenzl algebras can be constructed by consecutive evaluations of a certain rational function. In the appendix, we prove a similar result for generic cyclotomic Nazarov-Wenzl algebras.

arXiv commenta work inspired by others'. If there is any reference to be neglected, please do not hesitate to contact me. Thanks!

References in corpus (6)

• A new fusion procedure for the Brauer algebra and evaluation homomorphisms
• The Cyclotomic Birman-Murakami-Wenzl Algebras
• A basis for the Birman-Wenzl algebra
• Specht modules and semisimplicity criteria for Brauer and Birman--Murakami--Wenzl Algebras
• On the idempotents of Hecke algebras
• On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras