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math.RT2015
Infinite Dimensional 3-Lie Algebras and Their Connections to Harish-Chandra Modules
Ruipu Bai, Zhenheng Li, Weidong Whang
In this paper we construct two kinds of infinite-dimensional 3-Lie algebras from a given commutative associative algebra, and show that they are all canonical Nambu 3-Lie algebras.…
math.RT2015
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…