Linkage and translation for tensor products of representations of simple algebraic groups and quantum groups

DOI10.1112/PLMS.12641MaRDI QIDQ6642281

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Publication date: 22 November 2024

Published in: Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Homological methods in Lie (super)algebras (17B55) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Rational representations of algebraic groups: Tensor products and filtrations
• Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren
• Fusion categories arising from semisimple Lie algebras
• The strong linkage principle.
• Filtrations of $G$-modules
• On the good filtration dimension of Weyl modules for a linear algebraic group
• DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3: THE p ≥ 5 CASE
• Catégories tannakiennes
• On minimal tilting complexes in highest weight categories
• Tensor ideals for quantum groups via minimal tilting complexes

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