A basis theorem for the affine Kauffman category and its cyclotomic quotients

DOI10.1016/j.jalgebra.2022.07.005zbMath1500.17008arXiv2006.09626OpenAlexW4285499728WikidataQ115193721 ScholiaQ115193721MaRDI QIDQ2161170

Mengmeng Gao, Linliang Song, Hebing Rui

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09626

zbMATH Keywords

Birman-Murakami-Wenzl algebrasbasis theoremcyclotomic Kauffman categoryaffine Kauffman categoryquantum groups of types B/C/Dtangle diagrams

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (3)

A basis theorem for the affine Kauffman category and its cyclotomic quotients ⋮ Representations of cyclotomic oriented Brauer categories ⋮ Representations of weakly triangular categories

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