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Arithmetic deformation theory of lie algebras

Rastegar, A ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.52547/ijmsi.18.1.19
  3. Publisher: Iranian Academic Center for Education, Culture and Research , 2023
  4. Abstract:
  5. 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. © 2023 Academic Center for Education, Culture and Research TMU
  6. Keywords:
  7. Arithemtic Lie algebras ; Deforfation of Lie algebras ; Schlessinger criteria
  8. Source: Iranian Journal of Mathematical Sciences and Informatics ; Volume 18, Issue 1 , 2023 , Pages 19-32 ; 17354463 (ISSN)
  9. URL: https://ijmsi.ir/article-1-1237-en.pdf