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 language||English (US)|
|Journal||Journal of Physics: Conference Series|
|State||Published - 2014|
|Event||8th International Symposium on Quantum Theory and Symmetries, QTS 2013 - Mexico City, Mexico|
Duration: Aug 5 2013 → Aug 9 2013
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)