Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension
Abstract
We review known real forms of the quantum orthogonal groups SOq(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 SOq(N) that is complementary to the Uq(g) *-structure classification of Twietmeyer Twietmeyer. In particular we easily find and describe the real forms SOq(N-1,1) for any value of N. Quantum subspaces of the q-Minkowski space are analized.
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