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

Patrick Moylan

doi:10.1088/1742-6596/597/1/012061

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

Patrick Moylan

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

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

Original language	English (US)
Article number	012061
Journal	Journal of Physics: Conference Series
Volume	597
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/597/1/012061
State	Published - Apr 13 2015
Event	30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium Duration: Jul 14 2014 → Jul 18 2014

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1088/1742-6596/597/1/012061

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

AU - Moylan, Patrick

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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DO - 10.1088/1742-6596/597/1/012061

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AN - SCOPUS:84928041868

SN - 1742-6588

VL - 597

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012061

T2 - 30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014

Y2 - 14 July 2014 through 18 July 2014

ER -

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

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