scientific article; zbMATH DE number 845633
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Publication:4865652
zbMath0845.17016MaRDI QIDQ4865652
Publication date: 15 February 1996
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Weyl groupquantized enveloping algebracrystal basesymmetrizable Kac-Moody algebraDemazure submoduledominant, integral weight
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15)
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An algorithm to compute bases and representation matrices for \(\text{SL}_{n+1}\)-representations ⋮ A combinatorial model for crystals of Kac-Moody algebras ⋮ Graded Cartan determinants of the symmetric groups ⋮ On graded Cartan invariants of symmetric groups and Hecke algebras ⋮ On tangent spaces to Schubert varieties ⋮ Dual standard monomial theoretic and canonical bases for type \(A\)
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