A sum formula for tilting filtrations

DOI10.1016/S0022-4049(99)00141-3zbMath0981.20032WikidataQ127359366 ScholiaQ127359366MaRDI QIDQ1582727

Henning Haahr Andersen

Publication date: 20 November 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

tilting modulescharactersquantum groupsWeyl modulesfiltrationsreductive algebraic groupssum formula

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (13)

BGG categories in prime characteristics ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ On Donkin’s tilting module conjecture I: lowering the prime ⋮ Tilting modules and cellular categories ⋮ Sum formulas for reductive algebraic groups. ⋮ Krull-Schmidt decomposition of some tensor products of costandard modules for \(\mathrm{SL}_3(k)\). ⋮ Multiplicities of second cell tilting modules. ⋮ Jucys-Murphy elements for Soergel bimodules ⋮ On the Humphreys conjecture on support varieties of tilting modules ⋮ A generalization of Pillen’s theorem for principal series modules ⋮ On projective and injective polynomial modules. ⋮ QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY ⋮ A generalization of Pillen's theorem for principal series modules. II.

Cites Work

• Quantum groups at roots of 1
• Homomorphisms between neighbouring Weyl modules
• Tensor products of quantized tilting modules
• On tilting modules for algebraic groups
• Representations of quantum algebras
• Filtrations of cohomology modules for Chevalley groups
• The strong linkage principle.
• Representations of quantum algebras. The mixed case.
• Two classical results in the quantum mixed case.
• Filtrations and tilting modules
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