Blob algebra and two-color Soergel calculus

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Espinoza, Jorge¹  Plaza, David¹ 

[1] Inst Matemat & Fis, Ave Lircay S-N, Talca, Chile

关键词: Blob algebra;    Soergel bimodules;    Kazhdan-Lusztig polynomials;    Diagrams algebras;   

DOI  :  10.1016/j.jpaa.2019.02.013

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free