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- Title
Arithmetic Deformation Theory of Lie Algebras.
- Authors
Rastegar, Arash
- Abstract
This paper is devoted to deformation theory of graded Lie algebras over Z or Zl with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artinian local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations. In the second part, we use a version of Schlessinger criteria for functors on the Artinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic deformations using this technique.
- Subjects
LIE algebras; NUMBER theory; LOCAL rings (Algebra); ARTIN rings; REPRESENTATIONS of algebras; ARITHMETIC
- Publication
Iranian Journal of Mathematical Sciences & Informatics, 2023, Vol 18, Issue 1, p19
- ISSN
1735-4463
- Publication type
Article
- DOI
10.52547/ijmsi.18.1.19