RT - Journal Article
T1 - Arithmetic Deformation Theory of Lie Algebras
JF - IJMSI
YR - 2023
JO - IJMSI
VO - 18
IS - 1
UR - http://ijmsi.ir/article-1-1237-en.html
SP - 19
EP - 32
K1 - Arithemtic Lie algebras
K1 - Deforfation of Lie algebras
K1 - Schlessinger criteria.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1237-en.html
M3 10.52547/ijmsi.18.1.19
ER -