Double MV cycles and the Naito-Sagaki-Saito crystal.

DOI10.1016/j.aim.2013.02.019zbMath1292.20052arXiv1108.5404OpenAlexW1964071467MaRDI QIDQ390729

Dinakar Muthiah

Publication date: 8 January 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5404

zbMATH Keywords

Fock spacecrystalscanonical basesaffine Kac-Moody groupsaffine Grassmannianscomplex connected reductive groupsMirković-Vilonen cyclesMV cycles

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Kac-Moody groups (20G44)

Related Items

Rank 2 affine MV polytopes, Affine PBW bases and MV polytopes in rank 2, Affine Mirković-Vilonen polytopes

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