Web calculus and tilting modules in type
Elijah Bodish
University of Oregon, Eugene, USA
![Web calculus and tilting modules in type $C_2$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-13-issue-3.png&w=3840&q=90)
Abstract
Using Kuperberg’s web calculus (1996), and following Elias and Libedinsky, we describe a “light leaves” algorithm to construct a basis of morphisms between arbitrary tensor products of fundamental representations for (and the associated quantum group). Our argument has very little dependence on the base field. As a result, we prove that when , the Karoubi envelope of the web category is equivalent to the category of tilting modules for the divided powers quantum group .
Cite this article
Elijah Bodish, Web calculus and tilting modules in type . Quantum Topol. 13 (2022), no. 3, pp. 407–458
DOI 10.4171/QT/166