8 papers
Categorical Equivalences of Finite W-Superalgebras and Clifford Twists
Chih-Whi Chen, Shun-Jen Cheng, Uhi Rinn Suh
Associated with an even nilpotent element in a basic classical Lie superalgebra , we study, in full generality, two constructions of finite -superalgebras, def…
Poisson structures of deformed -algebras and classical -algebras
Dong Jun Choi, Uhi Rinn Suh
In this paper, we explain how classical -algebras can be obtained as limits of -deformed -algebras in type . To this end, we give a detailed examination of the construc…
Universal -parameter supersymmetric -algebra
Thomas Creutzig, Volodymyr Kovalchuk, Andrew R. Linshaw +2
The universal -parameter vertex algebra of type is a classifying object for vertex algebras of type fo…
Generalized finite and affine -algebras in type
Dong Jun Choi, Alexander Molev, Uhi Rinn Suh
We construct a new family of affine -algebras parameterized by partitions and associated with the centralizers of nilpotent elements in .…
Weak generators of W-algebras for type
Min Hee Park, Uhi Rinn Suh
In this paper, we find weak generating sets for a classical W-algebra when or . Furthermore,…
Principal SUSY and nonSUSY W-algebras and their Zhu algebras
Naoki Genra, Arim Song, Uhi Rinn Suh
This paper consists of two parts. In the first part, we prove that when is a simple basic Lie superalgebra with a principal odd nilpotent element , the W-algebra…