The quotient algebra of an <i>H</i> -module Lie algebra
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.
Authors
- M. Lobo (ORCID: https://orcid.org/0000-0001-5927-7934)
- Lucio Centrone (ORCID: https://orcid.org/0000-0001-5063-5184)
Institutions
- Universidade Estadual de Campinas (UNICAMP) (BR)
- University of Bari Aldo Moro (IT)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2025-02-10
- DOI
- https://doi.org/10.1080/00927872.2025.2455452
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00