Blob algebra and two-color Soergel calculus
Representation Theory
2019-04-18 v1
Abstract
In 2003, Martin and Woodcock noticed a connection between the representation theory of the blob algebra and the Kazhdan--Lusztig polynomials associated with the infinite dihedral group. However, no conceptual explanation for this coincidence has yet been provided. In this study, a possible explanation of this phenomenon is suggested by enunciating a conjecture that relates the endomorphism algebra of Bott--Samelson bimodules to certain subalgebras of the blob algebra obtained by idempotent truncation. Evidence supporting this conjecture is provided.
Cite
@article{arxiv.1904.08346,
title = {Blob algebra and two-color Soergel calculus},
author = {Jorge Espinoza and David Plaza},
journal= {arXiv preprint arXiv:1904.08346},
year = {2019}
}
Comments
Best viewed in color. Final version to appear in Journal of pure and applied algebra