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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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https://dumas.ccsd.cnrs.fr/dumas-00448866
Contributor : Oleg Ogievetsky <>
Submitted on : Wednesday, January 20, 2010 - 12:18:12 PM
Last modification on : Tuesday, March 30, 2021 - 3:17:06 AM
Long-term archiving on: : Thursday, October 18, 2012 - 12:50:38 PM

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  • HAL Id : dumas-00448866, version 1

Citation

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

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