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Master Thesis

Les supergroupes quantiques et leurs twists

Abstract : We study the classification of the R matrices in 2 dimensions using an equivalence relation coming from the theory of quantum groups, namely equivalence by a twist. This classification was already known for the GL(2) type matrices and this work aims to extend it to the GL(1|1) type matrices. The framework is thus the theory of quantum groups and the theory of Lie superalgebras. We obtained the complete classification at the numerical level and found also one universal twist of quantum supergroups. It remains to find the second universal twist.
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Contributor : Oleg Ogievetsky Connect in order to contact the contributor
Submitted on : Wednesday, January 20, 2010 - 12:18:12 PM
Last modification on : Thursday, January 6, 2022 - 12:12:03 PM
Long-term archiving on: : Thursday, October 18, 2012 - 12:50:38 PM


  • HAL Id : dumas-00448866, version 1


Loïc Poulain d'Andecy. Les supergroupes quantiques et leurs twists. Physique mathématique [math-ph]. 2009. ⟨dumas-00448866⟩



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