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Spin physics with internal targets and the blast detector |
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| Authors: | R Alarcon " target="_blank">Blast Collaboration |
| Institution: | (1) Dept. of Mathematics, Czech Republic;(2) Doppler Institute, FNSPE, Czech Technical University, Trojanova 13, CZ–120 00 Prague 2, Czech Republic;(3) Institute for Theoretical Physics, Kiev, 252143, Ukraine;(4) Doppler Institute, FNSPE, Czech Technical University, Czech Republic |
| Abstract: | The aim of this paper is to give a set of central elements of the algebras U q(som) and U
q(iso
m
) when q is a root of unity. They are surprisingly arise from a single polynomial Casimir element of the algebra Uq(so3). It is conjectured that the Casimir elements of these algebras under any values of q (not only for q a root of unity) and the central elements for q a root of unity derived in this paper generate the centers of Uq(som) and U
q(iso
m
) when q is a root of unity. |
| Keywords: | |
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