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math.RT2019★ 12 cited
Actions of monoidal categories and representations of Cartan type Lie algebras
Yufeng Pei, Yunhe Sheng, Rong Tang +1
Using crossed homomorphisms, we show that the category of weak representations (resp. admissible representations) of Lie-Rinehart algebras (resp. Leibniz pairs) is a left module ca…
math.RT2019
Cohomologies of a Lie algebra with a derivation and applications
Rong Tang, Yael Fregier, Yunhe Sheng
The main object of study of this paper is the notion of a LieDer pair, i.e. a Lie algebra with a derivation. We introduce the concept of a representation of a LieDer pair and study…