Real Forms of Quantum Orthogonal Groups,q-Lorentz Groups in any Dimension |
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Authors: | Aschieri Paolo |
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Institution: | (1) Physics Division, Lawrence Berkeley National Laboratory, Theoretical Physics Group, 1 Cyclotron Road, Berkeley, California, 94720, U.S.A |
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Abstract: | We review known real forms of the quantum orthogonal groups SO
q
(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SO
q
(N) that is complementary to the U
q
(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SO
q
(N-1,1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed. |
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Keywords: | real forms automorphisms q-Lorentz group q-Minkowski space |
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