论文标题
顶点代数构建用于扭曲仿射的模块type $ a_ {2l}^{（2）} $的代数
Vertex algebraic construction of modules for twisted affine Lie algebras of type $A_{2l}^{(2)}$
论文作者
论文摘要
令$ \ tilde {\ mathfrak {g}} $为类型$ a_ {2l}^{（2）} $的Aggine Lie代数。可集成的最高权重$ \ tilde {\ mathfrak {g}} $ - 模块$ l（kλ_0）$称为标准$ \ tilde {\ mathfrak {\ mathfrak {g}} $ - 模块是由twisted module $ v_l^t $ for lattece vertex pertex pertex pertex pertetex pertex pertetra al a $ v $ v v的启动产品实现的。通过使用此类顶点代数结构，我们构建了标准模块的基础，其主要子空间和偏僻的空间。结果，我们获得了它们的性格公式，并解决了Arxiv中所述的真空模块的猜想：Math/0102113。
Let $\tilde{\mathfrak{g}}$ be the affine Lie algebra of type $A_{2l}^{(2)}$. The integrable highest weight $\tilde{\mathfrak{g}}$-module $L(kΛ_0)$ called the standard $\tilde{\mathfrak{g}}$-module is realized by a tensor product of the twisted module $V_L^T$ for the lattice vertex operator algebra $V_L$. By using such vertex algebraic construction, we construct bases of the standard module, its principal subspace and the parafermionic space. As a consequence, we obtain their character formulas and settle the conjecture for vacuum modules stated in arXiv:math/0102113.
