Blob algebra and two-color Soergel calculus
arXiv:1904.08346 · doi:10.1016/j.jpaa.2019.02.013
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.
arXiv commentBest viewed in color. Final version to appear in Journal of pure and applied algebra
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