16 citations · 42 across the 20 of their papers we have counts for
25 papers
Supersymmetric semi--infinite cohomology and superconformal structures
Thomas Creutzig, Uhi Rinn Suh, Sangwon Yoon
We study supersymmetric semi-infinite cohomology and its superconformal structure via the BRST reduction of an superconformal structure on the super-aff…
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…
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,…
Supersymmetries in the theory of W-algebras
Andrew Linshaw, Arim Song, Uhi Rinn Suh
Let be a basic Lie superalgebra and be an odd nilpotent element in an subalgebra of . We provide a mathematical proof of the…
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…
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 . The…
Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric -algebras
Chih-Whi Chen, Shun-Jen Cheng, Uhi Rinn Suh
For a basic classical Lie superalgebra , let be the central extension of the Takiff superalgebra , where is an odd indetermin…
Gelfand-Dickey Realizations of the supersymmetric classical W-algebras for and
Sylvain Carpentier, UhiRinn Suh
In this paper we realize the supersymmetric classical -algebras and as differential a…
Integrable systems on rectangular -superalgebras via super Adler-type operators
Sylvain Carpentier, Gahng Sahn Lee, Uhi Rinn Suh
In this paper, we introduce a class of super Adler-type operators associated with the Lie superalgebra . We show that these operators generate Poisson vertex su…
Supersymmetric extension of universal enveloping vertex algebras
Uhi Rinn Suh, Sangwon Yoon
In this paper, we study the construction of the supersymmetric extensions of vertex algebras. In particular, for , we show the universal enveloping $N = n…
Dirac reductions and Classical W-algebras
Gahng Sahn Lee, Arim Song, Uhi Rinn Suh
In the first part of this paper, we generalize Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modi…
Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras
Se-jin Oh, Uhi Rinn Suh
In this paper, we introduce twisted and folded AR-quivers of type , , and associated to (triply) twisted Coxeter elements. Using the quivers of type…
Structures of (supersymmetric) classical W-algebras
Uhi Rinn Suh
In the first part of this paper, we discuss the classical W-algebra associated with a Lie superalgebra and the nilpotent element i…
Supersymmetric Bi-Hamiltonian Systems
Sylvain Carpentier, Uhi Rinn Suh
We construct super Hamiltonian integrable systems within the theory of Supersymmetric Poisson vertex algebras (SUSY PVAs). We provide a powerful tool for the understanding of SUSY…
Supersymmetric W-algebras
Alexander Molev, Eric Ragoucy, Uhi Rinn Suh
We develop a general theory of -algebras in the context of supersymmetric vertex algebras. We describe the structure of -algebras associated with odd nilpotent elements of Li…
Classical affine W-superalgebras via generalized Drinfeld-Sokolov reductions and related integrable systems
Uhi Rinn Suh
The purpose of this article is to investigate relations between W-superalgebras and integrable super-Hamiltonian systems. To this end, we introduce the generalized Drinfel'd-Sokolo…
Twisted Coxeter elements and Folded AR-quivers via Dynkin diagram automorphisms:II
Se-Jin Oh, UhiRinn Suh
As a continuation of the previous paper, we find a combinatorial interpretation of Dorey's rule for type via twisted Auslander-Reiten quivers (AR-quivers) of type ,…
Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: I
Se-jin Oh, UhiRinn Suh
We introduce and study the twisted adapted -cluster point and its combinatorial Auslander-Reiten quivers, called twisted AR-quivers and folded AR-quivers, of type whi…
Classcal affine W-algebras associated to Lie superalgebras
Uhi Rinn Suh
In this paper, we prove classical affine W-algebras associated to Lie superalgebras (W-superalgebras) can be constructed in two different ways: via affine classical Hamiltonian red…
Combinatorial Auslander-Reiten quivers and reduced expressions
Se-Jin Oh, Uhi Rinn Suh
In this paper, we introduce the notion of combinatorial Auslander-Reiten(AR) quiver for commutation classes of in finite Weyl group. This combinatorial object…
Categorification of Virasoro-Magri Poisson vertex algebra
Seok-Jin Kang, Uhi Rinn Suh
Let S be the direct sum of algebra of symmetric groups C S_n for a non-negative integer n. We show that the Grothendieck group K_0(S) of the category of finite dimensional modules…
Dual Perfect Bases and dual perfect graphs
Byeong Hoon Kahng, Seok-Jin Kang, Masaki Kashiwara +1
We introduce the notion of dual perfect bases and dual perfect graphs. We show that every integrable highest weight module over a quantum generalized Kac-Moody algebra $U_…