Ryuta Hiasa

collaborators

3 papers

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…

math.CO2020

Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2

Ryuta Hiasa

Let $g$ be a hyperbolic Kac-Moody algebra of rank $2$ . We give a necessary and sufficient condition for the crystal graph of the Lakshmibai-Seshadri path crystal $\mathb…