论文标题
Lakshmibai-Seshadri路径晶体的连接性,用于双曲线KAC-MOODY代数2
Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2
论文作者
论文摘要
令$ \ mathfrak {g} $为夸张的kac-moody代数为$ 2 $。我们为Lakshmibai-Seshadri Path Crystal $ \ MATHBB {B}(λ)$的晶体图提供了必要和充分的条件。
Let $\mathfrak{g}$ 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 $\mathbb{B}(λ)$ to be connected for an arbitrary integral weight $λ$.