Polyhedral realization of the crystal bases for extremal weight modules over quantized hyperbolic Kac-Moody algebras of rank 2

2021/12/05 by Hiasa, Ryuta
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2112.02493

Abstract

Let \mathfrakg be a hyperbolic Kac-Moody algebra of rank 2. We give a polyhedral realization of the crystal basis for the extremal weight module of extremal weight λ, where λ is an integral weight whose Weyl group orbit has neither a dominant integral weight nor an antidominant integral weight.

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