Localization and the connection between Uq (so(3)) and Uq (osp(1\2))

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

In [1] we constructed homomorphisms from the quantized enveloping algebras of the Euclidean and Euclidean super Lie algebras, Uq (so(2)) and Uq (osp(1\2)), onto their images in localizations of Uq (so(2)) and Uq (osp(1\2)), respectively, and, conversely, we described homomorphisms of Uq (so(2)) and Uq (osp(1\2))into localizations of Uq (so(2)) and Uq (osp(1\2)). Herewith we use these homomorphisms to obtain a new relationship between Uq (so(1)) and Uq (osp(1\2)).

Original languageEnglish (US)
Article number012061
JournalJournal of Physics: Conference Series
Volume597
Issue number1
DOIs
StatePublished - Apr 13 2015
Event30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium
Duration: Jul 14 2014Jul 18 2014

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homomorphisms
algebra

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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title = "Localization and the connection between Uq (so(3)) and Uq (osp(1\2))",
abstract = "In [1] we constructed homomorphisms from the quantized enveloping algebras of the Euclidean and Euclidean super Lie algebras, Uq (so(2)) and Uq (osp(1\2)), onto their images in localizations of Uq (so(2)) and Uq (osp(1\2)), respectively, and, conversely, we described homomorphisms of Uq (so(2)) and Uq (osp(1\2))into localizations of Uq (so(2)) and Uq (osp(1\2)). Herewith we use these homomorphisms to obtain a new relationship between Uq (so(1)) and Uq (osp(1\2)).",
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Localization and the connection between Uq (so(3)) and Uq (osp(1\2)). / Moylan, Patrick J.

In: Journal of Physics: Conference Series, Vol. 597, No. 1, 012061, 13.04.2015.

Research output: Contribution to journalConference article

TY - JOUR

T1 - Localization and the connection between Uq (so(3)) and Uq (osp(1\2))

AU - Moylan, Patrick J.

PY - 2015/4/13

Y1 - 2015/4/13

N2 - In [1] we constructed homomorphisms from the quantized enveloping algebras of the Euclidean and Euclidean super Lie algebras, Uq (so(2)) and Uq (osp(1\2)), onto their images in localizations of Uq (so(2)) and Uq (osp(1\2)), respectively, and, conversely, we described homomorphisms of Uq (so(2)) and Uq (osp(1\2))into localizations of Uq (so(2)) and Uq (osp(1\2)). Herewith we use these homomorphisms to obtain a new relationship between Uq (so(1)) and Uq (osp(1\2)).

AB - In [1] we constructed homomorphisms from the quantized enveloping algebras of the Euclidean and Euclidean super Lie algebras, Uq (so(2)) and Uq (osp(1\2)), onto their images in localizations of Uq (so(2)) and Uq (osp(1\2)), respectively, and, conversely, we described homomorphisms of Uq (so(2)) and Uq (osp(1\2))into localizations of Uq (so(2)) and Uq (osp(1\2)). Herewith we use these homomorphisms to obtain a new relationship between Uq (so(1)) and Uq (osp(1\2)).

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