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math.RT2016★ 1 cited
Modules and Structures of Planar Upper Triangular Rook Monoids
Jianqiang Feng, Wenli Liu, Ximei Bai +1
In this paper, we discuss modules and structures of the planar upper triangular rook monoid B_n. We first show that the order of B_n is a Catalan number, then we investigate the pr…
math.RA2016
-Extension of -Lie algebras
Ruipu Bai, Yansha Gao, Zhenheng Li
We study an extension algebra from two given -Lie algebras and , and discuss the extensibility of a pair of derivations, one from the derivation algebra of and th…
math.RT2016
Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups
Zhenheng Li, Zhuo Li, Claus Mokler
Starting with a highest weight representation of a Kac-Moody group over the complex numbers, we construct a monoid whose unit group is the image of the Kac-Moody group under the re…