In this paper we define the H-module Lie algebra of quotients for an H-semiprime Lie algebra L, where H is a cocommutative Hopf algebra and we compute the maximal H-module Lie algebra of quotients of L, say QmH(L). As an application, we compute the Gelfand-Kirillov dimension (GK) of QmH(L) showing it equals the GK dimension of L.
The quotient algebra of an H-module Lie algebra
Centrone, Lucio
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2025-01-01
Abstract
In this paper we define the H-module Lie algebra of quotients for an H-semiprime Lie algebra L, where H is a cocommutative Hopf algebra and we compute the maximal H-module Lie algebra of quotients of L, say QmH(L). As an application, we compute the Gelfand-Kirillov dimension (GK) of QmH(L) showing it equals the GK dimension of L.File in questo prodotto:
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