Euclidean and super euclidean algebras and localizations of Uq (sl(2)) and Uq(osp(1j2))1

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Abstract

In Ref. 1 we described homomorphisms of Uq((2)) and U((2)) into localizations of U((2)) and Uq((2)), respectively, with U((2)) being the universal enveloping algebra of the Lie algebra of SO(2) × sT2 the Euclidean group in the plane, with T2 denoting translations of the plane and × s semidirect product. In particular, we obtained explicit expressions for the generators of U q((2)) and U((2)), respectively as irrational functions of U((2)) and Uq((2)). Herewith we further develop our results extending them to Uq((1|2)) and U ) with being the super Euclidean algebra.

Original languageEnglish (US)
Article number012026
JournalJournal of Physics: Conference Series
Volume512
Issue number1
DOIs
StatePublished - 2014
Event8th International Symposium on Quantum Theory and Symmetries, QTS 2013 - Mexico City, Mexico
Duration: Aug 5 2013Aug 9 2013

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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