scientific article; zbMATH DE number 691453

zbMath0830.20064MaRDI QIDQ4314344

Galin Georgiev, Olivier Mathieu

Publication date: 21 January 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

tilting modulesquantum groupsfinite dimensional representationshighest weightsexplicit formulaaffine Kac-Moody algebrassemi-simple algebraic groupsfusion ruledominant weightsbottom alcovecharacters of reduced tensor productstilting summands

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Applications of linear algebraic groups to the sciences (20G45)

Related Items (11)

Fusion categories arising from semisimple Lie algebras ⋮ On the dimension of some modular irreducible representations of the symmetric group ⋮ On symmetric fusion categories in positive characteristic ⋮ A Clebsch-Gordan decomposition in positive characteristic ⋮ New incompressible symmetric tensor categories in positive characteristic ⋮ Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic ⋮ Semisimplification of the category of tilting modules for \(\mathrm{GL}_n\) ⋮ Multiplicities of second cell tilting modules. ⋮ On the Humphreys conjecture on support varieties of tilting modules ⋮ From Hopf Algebras to Tensor Categories ⋮ Character formulas of irreducible representations of the symplectic group in prime characteristic

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