Decomposition of tensor products of modular irreducible representations for $SL_3$ (With an Appendix by C.M. Ringel)

zbMath1263.20041arXiv0901.0197MaRDI QIDQ2920208

Stuart Martin, Stephen R. Doty, Christopher Bowman

Publication date: 25 October 2012

Full work available at URL: https://arxiv.org/abs/0901.0197

zbMATH Keywords

algorithmsSchur algebrasalgebraic groupsindecomposable direct summandstensor products of simple modulesnon-rigid tilting modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Schur and (q)-Schur algebras (20G43)

Related Items (6)

Reductive pairs arising from representations. ⋮ Decomposition of tensor products involving a Steinberg module ⋮ Radically filtered quasi-hereditary algebras and rigidity of tilting modules ⋮ Krull-Schmidt decomposition of some tensor products of costandard modules for \(\mathrm{SL}_3(k)\). ⋮ Loewy filtration and quantum de Rham cohomology over quantum divided power algebra ⋮ Balanced semisimple filtrations for tilting modules

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