论文标题
DS功能的深度和核心
Depths and cores in the light of DS-functors
论文作者
论文摘要
dulfo-serganova函子DS是张量函子，与不同的超级甲壳虫的表示相关。在本文中，我们研究了DS函数下的各种不变式的行为，例如缺陷，双交换器数，非典型性和核心。我们引入了深度的概念，扮演代数和模块的非典型性的缺陷的作用。我们主要集中于对称性Kac-Moody和Q-type Superalgebras的例子。
The Dulfo-Serganova functors DS are tensor functors relating representations of different Lie superalgebras. In this paper we study the behaviour of various invariants, such as the defect, the dual Coxeter number, the atypicality and the cores, under the DS-functor. We introduce a notion of depth playing the role of defect for algebras and atypicality for modules. We mainly concentrate on examples of symmetrizable Kac-Moody and Q-type superalgebras.
