Decomposition of tensor products of modular irreducibles for SL2

DOI10.1093/qmath/hah027zbMath1108.20043arXivmath/0205186OpenAlexW2036468317MaRDI QIDQ5708725

Anne Henke, Stephen R. Doty

Publication date: 21 November 2005

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205186

zbMATH Keywords

tilting modulesindecomposable summandstensor products of simple modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05)

Related Items (21)

Reductive pairs arising from representations. ⋮ Some remarks on the ring of twisted tilting modules for algebraic groups. ⋮ The Frobenius morphism in invariant theory ⋮ Maximal 𝑃𝑆𝐿₂ Subgroups of Exceptional Groups of Lie Type ⋮ On certain tilting modules for \(\mathrm{SL}_{2}\) ⋮ Higher extensions between modules for \(\text{SL}_2\). ⋮ Decomposition of tensor products involving a Steinberg module ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ A Clebsch-Gordan decomposition in positive characteristic ⋮ New incompressible symmetric tensor categories in positive characteristic ⋮ Radically filtered quasi-hereditary algebras and rigidity of tilting modules ⋮ On tensor products of simple modules for simple groups. ⋮ The p-canonical basis for Hecke algebras ⋮ Universal extension classes for \(GL_2\). ⋮ Adequate subgroups and indecomposable modules ⋮ Krull-Schmidt decomposition of some tensor products of costandard modules for \(\mathrm{SL}_3(k)\). ⋮ Symmetric tensor categories in characteristic 2 ⋮ A note on the tensor product of restricted simple modules for algebraic groups. ⋮ Reductive groups, the loop Grassmannian, and the Springer resolution ⋮ Quivers for 𝑆𝐿₂ tilting modules ⋮ The Frobenius morphism in invariant theory. II

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