论文标题
广义假想的Verma和Wakimoto模块
Generalized Imaginary Verma and Wakimoto modules
论文作者
论文摘要
我们开发了一种通用技术，该技术使用抛物线诱导构造任何仿射KAC-MOODY代数的新型不可约权重模块，在抛物线亚代词的LEVI因子是无限二维且中心电荷的情况下，我们的中央电荷为非零。我们的方法制服并概括了所有以前已知的结果，并对诱导模块施加了限制。我们还定义了通用的假想Wakimoto模块，该模块为通用的通用假想Verma模块提供了明确的实现。
We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic subalgebra is infinite-dimensional and the central charge is nonzero. Our approach uniforms and generalizes all previously known results with imposed restrictions on inducing modules. We also define generalized Imaginary Wakimoto modules which provide an explicit realization for generic generalized Imaginary Verma modules.
