Uprolling unrolled quantum groups

Creutzig T, Rupert M (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Communications in Contemporary Mathematics World Scientific Publishing

Book Volume: 24

Article Number: 2150023

Journal Issue: 4

DOI: 10.1142/S0219199721500231

Abstract

We construct families of commutative (super) algebra objects in the category of weight modules for the unrolled restricted quantum group ŪqH() of a simple Lie algebra at roots of unity, and study their categories of local modules. We determine their simple modules and derive conditions for these categories being finite, non-degenerate, and ribbon. Motivated by numerous examples in the = 2 case, we expect some of these categories to compare nicely to categories of modules for vertex operator algebras. We focus in particular on examples expected to correspond to the higher rank triplet vertex algebra WQ(r) of Feigin and Tipunin and the BQ(r) algebras.

Involved external institutions

University of Alberta CA Canada (CA) Utah State University US United States (USA) (US)

How to cite

APA:

Creutzig, T., & Rupert, M. (2022). Uprolling unrolled quantum groups. Communications in Contemporary Mathematics, 24(4). https://doi.org/10.1142/S0219199721500231

MLA:

Creutzig, Thomas, and Matthew Rupert. "Uprolling unrolled quantum groups." Communications in Contemporary Mathematics 24.4 (2022).

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