Tensor ideals for quantum groups via minimal tilting complexes

DOI10.1090/PROC/16607arXiv2211.10037MaRDI QIDQ6154338

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Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.10037

zbMATH Keywords

quantum grouptilting moduletensor ideal

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Homological methods in Lie (super)algebras (17B55) Quantum groups (quantized function algebras) and their representations (20G42) Braided monoidal categories and ribbon categories (18M15)

Cites Work

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• A Künneth formula in tensor triangulated categories
• Tensor ideals in the category of tilting modules
• Nilpotent commuting varieties of reductive Lie algebras
• A Bound on the Complexity for G r T Modules
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• On the good filtration dimension of Weyl modules for a linear algebraic group
• Support varieties for algebraic groups
• The spectrum of prime ideals in tensor triangulated categories
• Introduction to quantum groups

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