K. Zhao

activity

20002023

most citedWhittaker modules for the affine Lie algebra

A_{1}^{(1)}

73 citations · 417 across the 63 of their papers we have counts for

collaborators

Showing 2016Show all

5 papers · 1 filter

math.RT2016

New families of irreducible weight modules over $sl_{3}$

Vyacheslav Futorny, Genqiang Liu, Rencai Lu +1

Let $n > 1$ be an integer, $α \in C^{n}$ , $b \in C$ , and $V$ a $gl_{n}$ -module. We define a class of weight modules $F_{b}^{α} (V)$ over $\sl_{n+1}$ using the res…

math.RT2016★ 1 cited

Irreducible Witt modules from Weyl modules and $gl_{n}$ -modules

Genqiang Liu, Rencai Lu, Kaiming Zhao

For an irreducible module $P$ over the Weyl algebra $K_{n}^{+}$ (resp. $K_{n}$ ) and an irreducible module $M$ over the general liner Lie algebra $gl_{n}$ , us…

math.RA2016★ 1 cited

Zero product determined Lie algebras

Matej Bresar, Xiangqian Guo, Genqiang Liu +2

A Lie algebra $L$ over a field $F$ is said to be zero product determined (zpd) if every bilinear map $f : L \times L \to F$ with the property that $f (x, y) = 0$ whenever…

math.RT2016★ 3 cited

Module structure on $U (h)$ for Kac-Moody algebras

Yan-an Cai, Haijun Tan, Kaiming Zhao

Let $\g$ be an arbitrary Kac-Moody algebra with a Cartan sualgebra $\h$. In this paper, we determine the category of $\g$-modules that are free $U(\h)$-modules of rank 1.

math.RT2016★ 1 cited

Certain families of Polynomials arising in the study of hyperelliptic Lie algebras

Ben Cox, Kaiming Zhao

The associative ring $R (P (t)) = C [t^{\pm 1}, u ∣ u^{2} = P (t)]$ , where $P (t) = \sum_{i = 0}^{n} a_{i} t^{i} = \prod_{k = 1}^{n} (t - α_{i})$ with $α_{i} \in C$ pairwise distinct, is the coordinat…

New families of irreducible weight modules over sl3​

Irreducible Witt modules from Weyl modules and gln​-modules

Zero product determined Lie algebras

Module structure on U(h) for Kac-Moody algebras

Certain families of Polynomials arising in the study of hyperelliptic Lie algebras

New families of irreducible weight modules over $sl_{3}$

Irreducible Witt modules from Weyl modules and $gl_{n}$ -modules

Module structure on $U (h)$ for Kac-Moody algebras