دوره 18، شماره 1 - ( 1-1402 )
جلد 18 شماره 1 صفحات 32-19 |
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Rastegar A. Arithmetic Deformation Theory of Lie Algebras. IJMSI 2023; 18 (1) :19-32
URL: http://ijmsi.ir/article-1-1237-fa.html
URL: http://ijmsi.ir/article-1-1237-fa.html
Arithmetic Deformation Theory of Lie Algebras. مجله علوم ریاضی و انفورماتیک. 1402; 18 (1) :19-32
چکیده:
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.
Artinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic deformations using this technique.
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