Categorification of quasi-split iquantum groups
Jonathan Brundan, Weiqiang Wang, Ben Webster
TL;DR
This paper introduces a new family of graded 2-categories that generalize existing 2-quantum groups and uses them to categorify quasi-split iquantum groups across all symmetric types.
Contribution
It presents a novel family of graded 2-categories and applies them to categorify quasi-split iquantum groups, extending previous work in the field.
Findings
New graded 2-categories introduced
Categorification achieved for all symmetric types
Generalization of 2-quantum groups
Abstract
We introduce a new family of graded 2-categories generalizing the 2-quantum groups introduced by Khovanov, Lauda and Rouquier. We use them to categorify quasi-split iquantum groups in all symmetric types.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research