Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We construct homomorphisms from the Euclidean and super Euclidean algebras, iso(2) and (Formual presented), onto their images in localizations of Uq(sl(2)) and Uq(osp(1|2)), respectively, and, conversely, we describe homomorphisms of Uq(sl(2)) and Uq(osp(1|2)) into localizations of U(iso(2)) and (Formual presented). These homomorphisms give results on the relationship between the representation theory of the respective algebras, and, in particular, lead to new representations of Uq(osp(1|2)).

Original languageEnglish (US)
Title of host publicationLie Theory and Its Applications in Physics, 2013
EditorsVladimir Dobrev
PublisherSpringer New York LLC
Pages369-379
Number of pages11
ISBN (Electronic)9784431552840
DOIs
StatePublished - Jan 1 2014
Event10th Workshop on Lie Theory and Its Applications in Physics, LT 2013 - , Bulgaria
Duration: Jun 17 2013Jun 23 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume111
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

Other10th Workshop on Lie Theory and Its Applications in Physics, LT 2013
CountryBulgaria
Period6/17/136/23/13

Fingerprint

Homomorphisms
Euclidean
Algebra
Representation Theory

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Moylan, P. J. (2014). Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras. In V. Dobrev (Ed.), Lie Theory and Its Applications in Physics, 2013 (pp. 369-379). (Springer Proceedings in Mathematics and Statistics; Vol. 111). Springer New York LLC. https://doi.org/10.1007/978-4-431-55285-7_27
Moylan, Patrick J. / Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras. Lie Theory and Its Applications in Physics, 2013. editor / Vladimir Dobrev. Springer New York LLC, 2014. pp. 369-379 (Springer Proceedings in Mathematics and Statistics).
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Moylan, PJ 2014, Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras. in V Dobrev (ed.), Lie Theory and Its Applications in Physics, 2013. Springer Proceedings in Mathematics and Statistics, vol. 111, Springer New York LLC, pp. 369-379, 10th Workshop on Lie Theory and Its Applications in Physics, LT 2013, Bulgaria, 6/17/13. https://doi.org/10.1007/978-4-431-55285-7_27

Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras. / Moylan, Patrick J.

Lie Theory and Its Applications in Physics, 2013. ed. / Vladimir Dobrev. Springer New York LLC, 2014. p. 369-379 (Springer Proceedings in Mathematics and Statistics; Vol. 111).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Moylan PJ. Localizations of uq(si(2)) and uq(osp(1/2)) associated with euclidean and super euclidean algebras. In Dobrev V, editor, Lie Theory and Its Applications in Physics, 2013. Springer New York LLC. 2014. p. 369-379. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-4-431-55285-7_27