%0 Journal Article
%A Rastegar, Arash
%T Arithmetic Deformation Theory of Lie Algebras
%J Iranian Journal of Mathematical Sciences and Informatics
%V 18
%N 1
%U http://ijmsi.ir/article-1-1237-en.html
%R 10.52547/ijmsi.18.1.19
%D 2023
%K Arithemtic Lie algebras, Deforfation of Lie algebras, Schlessinger criteria.,
%X 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.
%> http://ijmsi.ir/article-1-1237-en.pdf
%P 19-32
%& 19
%!
%9 Research paper
%L A-10-2299-2
%+ Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran
%G eng
%@ 1735-4463
%[ 2023