15 citations · 76 across the 42 of their papers we have counts for
42 papers
Almost multiplicity-one property of spherical varieties over finite fields
Fulin Chen, Fang Shi, Shaobin Tan
Let be a connected algebraic subgroup of a connected reductive group over a finite field such that is a -spherical variety, i.e., has an open d…
Quantum vertex algebra associated to quantum toroidal
Fulin Chen, Xin Huang, Fei Kong +1
In this paper, we associate the quantum toroidal algebra of type with quantum vertex algebra through equivariant -coordinated quasi modules. Mo…
Howe duality in the toroidal setting
Fulin Chen, Xin Huang, Shaobin Tan
In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This exten…
A characterization of minimal extended affine root systems (Relations to Elliptic Lie Algebras)
Saeid Azam, Fatemeh Parishani, Shaobin Tan
Extended affine root systems appear as the root systems of extended affine Lie algebras. A subclass of extended affine root systems, whose elements are called ``minimal" turns out…
Twisted quantum affine algebras and equivariant -coordinated modules for quantum vertex algebras
Naihuan Jing, Fei Kong, Haisheng Li +1
This paper is about establishing a natural connection of quantum affine algebras with quantum vertex algebras. Among the main results, we establish -adic versions of the sma…
Trigonometric Lie algebras, affine Kac-Moody Lie algebras, and equivariant quasi modules for vertex algebras
Hongyan Guo, Haisheng Li, Shaobin Tan +1
In this paper, we study a family of infinite-dimensional Lie algebras , where stands for the type: , and is an abelian group, which generalize the…