Trace decategorification of the Hecke category

Abstract

We compute the trace decategorification of the Hecke category for an arbitrary Coxeter group. More generally, we introduce the notion of a strictly object-adapted cellular category and calculate the trace for such categories.

13 pages

References in corpus (6)

• The two-color Soergel calculus
• On the center of quiver-Hecke algebras
• Trace decategorification of categorified quantum sl(2)
• Current algebras and categorified quantum groups
• Trace as an alternative decategorification functor
• Trace decategorification of categorified quantum sl(3)

Cited by in corpus (11)

• Semi-infinite highest weight categories
• The Elliptic Hall algebra and the deformed Khovanov Heisenberg category
• Semisimplification of the category of tilting modules for GL_n
• SL2 tilting modules in the mixed case
• Trace of the twisted Heisenberg Category
• Localized calculus for the Hecke category
• A new approach to the representation theory of the partition category
• Cellularity of endomorphism algebras of tilting objects
• The $q$-Schur category and polynomial tilting modules for quantum $G{L}_n$
• Graded triangular bases
• On rank one 2-representations of web categories