73 citations · 170 across the 30 of their papers we have counts for
6 papers · 1 filter
Simple superelliptic Lie algebras
Ben Cox, Xiangqian Guo, Rencai Lu +1
Let , . Then we have the Riemann surfaces (commutative algebras) and The Lie algebras $\mathcal…
Whittaker modules for the affine Lie algebra
Drazen Adamovic, Rencai Lu, Kaiming Zhao
We prove the irreducibility of the universal non-degenerate Whittaker modules for the affine Lie algebra of type with noncritical level which are also…
Simple weight modules over weak Generalized Weyl algebras
Rencai Lu, Volodymyr Mazorchuk, Kaiming Zhao
In this paper we address the problem of classification of simple weight modules over weak generalized Weyl algebras of rank one. The principal difference between weak generalized W…
Classification of simple weight modules over the 1-spatial ageing algebra
Rencai Lu, Volodymyr Mazorchuk, Kaiming Zhao
In this paper we use Block's classification of simple modules over the first Weyl algebra to obtain a complete classification of simple weight modules, in particular, of Harish-Cha…
Category O for the Schrödinger algebra
Brendan Dubsky, Rencai Lü, Volodymyr Mazorchuk +1
We study category O for the (centrally extended) Schrödinger algebra. We determine the quivers for all blocks and relations for blocks of nonzero central charge. We also describe t…
Finite-dimensional simple modules over generalized Heisenberg algebras
Rencai Lu, Kaiming Zhao
Generalized Heisenberg algebras for any polynomial $f(h)\in\C[h]$ have been used to explain various physical systems and many physical phenomena for the last 20 years. In t…