free_orthogonal_quantum_group
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| ====== Free orthogonal quantum group ====== | ====== Free orthogonal quantum group ====== | ||
| - | Free orthogonal quantum groups were first defined in... | + | Free orthogonal quantum groups $O_N^+$ were first defined in [(:ref:Wang95)]. It is a one-parameter series of quantum groups forming a free counterpart to the orthogonal groups $O_N$ |
| ===== Definition ===== | ===== Definition ===== | ||
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| $$C(O_N^+)=C^*(u_{ij},\;i,j=1,\dots,n\mid u_{ij}=u_{ij}^*,\;uu^t=u^tu=1_{\mathbb{C}^N}).$$ | $$C(O_N^+)=C^*(u_{ij},\;i,j=1,\dots,n\mid u_{ij}=u_{ij}^*,\;uu^t=u^tu=1_{\mathbb{C}^N}).$$ | ||
| + | ===== Representation theory ===== | ||
| + | |||
| + | ===== Cohomology ===== | ||
| + | |||
| + | ===== Related quantum groups ===== | ||
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| + | ===== References ===== | ||
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| + | [( :ref:Wang95 >> | ||
| + | author : Shuzhou Wang | ||
| + | title : Free products of compact quantum groups | ||
| + | journal : Communications in Mathematical Physics | ||
| + | year : 1995 | ||
| + | volume : 167 | ||
| + | number : 3 | ||
| + | pages : 671--692 | ||
| + | url : http://dx.doi.org/10.1007/BF02101540 | ||
| + | )] | ||
free_orthogonal_quantum_group.1551166830.txt.gz · Last modified: 2021/11/23 11:56 (external edit)
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