论文标题
量子borcherds-bozec代数的摘要晶体
Abstract crystals for quantum Borcherds-Bozec algebras
论文作者
论文摘要
在本文中，我们开发了用于量子Borcherds-bozec代数的抽象晶体的理论。 我们的构建与Bozec的建筑不同。我们进一步证明了嵌入定理的晶体，并提供$ {b}（\ infty）$和$ {b}（λ）$作为其应用的特征，其中$ {b}（\ infty）$和$ {b}（v}（λ）$是Quantum borcherds-Bozec $ ___的负面crys ys the Quang.boze $ ____________不可约最高权重模块$ V（λ）$。
In this paper, we develop the theory of abstract crystals for quantum Borcherds-Bozec algebras. Our construction is different from the one given by Bozec. We further prove the crystal embedding theorem and provide a characterization of ${B}(\infty)$ and ${B}(λ)$ as its application, where ${B}(\infty)$ and ${B}(λ)$ are the crystals of the negative half part of the quantum Borcherds-Bozec algebra $U_q(\mathfrak g)$ and its irreducible highest weight module $V(λ)$, respectively.
