3 citations · 3 across the 3 of their papers we have counts for
6 papers
Kazhdan-Lusztig polynomials for
Karina Batistelli, Aram Bingham, David Plaza
Kazhdan and Lusztig define, for an arbitrary Coxeter system , a family of polynomials indexed by pairs of elements of . Despite their relevance and elementary definition,…
The nil-blob algebra: An incarnation of type Soergel calculus and of the truncated blob algebra
Diego Lobos, David Plaza, Steen Ryom-Hansen
We introduce a type analogue of the nil Temperley-Lieb algebra in terms of generators and relations, that we call the (extended) nil-blob algebra. We show that this algebra is…
Type Temperley-Lieb algebra quotients and Catalan combinatorics
Sadek Al Harbat, Camilo González, David Plaza
We study some algebraic and combinatorial features of two algebras that arise as quotients of Temperley-Lieb algebras of type , namely, the two-boundary Temperley-Lieb a…
Blob algebra and two-color Soergel calculus
Jorge Espinoza, David Plaza
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 g…
Diagrammatics for Kazhdan-Lusztig R-polynomials
David Plaza
Let be an arbitrary Coxeter system. We introduce a family of polynomials, , indexed by pairs formed by an…
Categorification of a recursive formula for Kazhdan-Lusztig polynomials
David Plaza
We obtain explicit branching rules for graded cell modules and graded simple modules over the endomorphism algebra of a Bott-Samelson bimodule. These rules allow us to categorify a…