KLR algebras and the branching rule II: the categorical Gelfand-Tsetlin basis for the classical Lie algebras

2014/07/02 by Vaz, Pedro
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1407.0668

Abstract

We construct functors categorifying the branching rules for U_q(\mathfrakg) for \mathfrakg of type B_n, C_n, and D_n for the embeddings so_2n+1⊃ so_2n-1, sp_2n⊃ sp_2n-2, and so_2n⊃ so_2n-2. We give the corresponding categorical Gelfand-Tsetlin basis.

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