Drinfeld double of quantum groups, tilting modules, and \(\mathbb{Z}\)-modular data associated to complex reflection groups

DOI10.4171/JCA/45zbMath1484.20086arXiv1807.00770MaRDI QIDQ2210590

Abel Lacabanne

Publication date: 7 November 2020

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

Full work available at URL: https://arxiv.org/abs/1807.00770

zbMATH Keywords

quantum groupsbraided monoidal categories\( \mathbb{Z}\)-modular data

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Quantum groups (quantized function algebras) and their representations (20G42) Braided monoidal categories and ribbon categories (18M15)

Related Items (4)

Slightly Degenerate Categories and ℤ-Modular Data ⋮ An asymptotic cell category for cyclic groups ⋮ A Soergel-like category for complex reflection groups of rank one ⋮ Fourier matrices for \(G(d,1,n)\) from quantum general linear groups

Uses Software

• CHEVIE

Cites Work

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