论文标题
关于kleinian奇异性变形的可用单位化的harish-chandra双模型
On unitarizable Harish-Chandra bimodules for deformations of Kleinian singularities
论文作者
论文摘要
Harish-Chandra Bimodule的概念，即有限生成的$ U（\ Mathfrak {g}）$ - 具有本地有限的伴随动作的Bimodule，在Lossev [Ivan Lossev的工作中都被概括为任何过滤的代数[Ivan Lossev [ivan Losseve，不可误解的模块，而不是W-Elgebras和GoldEie and goldie and goldie Sarks。 ARXIV：1209.1083]。与经典案例类似，我们可以定义可单位化的双模模的概念。我们调查了一个问题，即常规双模模，即代数本身，以使$ a $的kleinian奇异性变形。我们获得了可分别定期双模型的部分分类。
The notion of a Harish-Chandra bimodule, i.e. finitely generated $U(\mathfrak{g})$-bimodule with locally finite adjoint action, was generalized to any filtered algebra in a work of Losev [Ivan Losev, Dimensions of irreducible modules over W-algebras and Goldie ranks. arXiv:1209.1083]. Similarly to the classical case we can define the notion of a unitarizable bimodule. We investigate a question when the regular bimodule, i.e. the algebra itself, for a deformation of Kleinian singularity of type $A$ is unitarizable. We obtain a partial classification of unitarizable regular bimodules.
