任意维量子正交群、q-洛伦兹群的实形式
Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension
摘要：
本文综述了量子正交群SO_q（N）的已知实形式。引入新的 *-共轭，构造了量子正交群的所有实形式.因此，我们给出了SO_q（N）上的 *-共轭的RTT公式，它是对Twietmeyer \cite{Twietmeyer}的U_q（g）*-结构分类的补充.特别地，对于任意的N，我们很容易找到并描述实形式SO_q（N-1，1）.分析了q-Minkowski空间的量子子空间。
英文摘要：
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 \cite{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 analized.
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