Ryuta Hiasa

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math.QA2021

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

Ryuta Hiasa

Let $g$ 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…

math.QA2021

Crystals of Lakshmibai-Seshadri paths and extremal weight modules over quantum hyperbolic Kac-Moody algebras of rank 2

Ryuta Hiasa

Let $g$ be a hyperbolic Kac-Moody algebra of rank $2$ , and let $λ$ be an arbitrary integral weight. We denote by $B (λ)$ the crystal of all Lakshmibai-Seshadri p…