Quantum Automorphism Groups of Vertex-transitive Graphs of Order ≤ 11 Teodor Banica and Julien Bichon
نویسنده
چکیده
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
منابع مشابه
Quantum automorphism groups of vertex - transitive graphs of order ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn , symmetric groups Sn and quantum symmetric groups Qn , by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کامل1 0 Ju l 2 00 6 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کامل2 2 N ov 2 00 6 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کامل3 1 Ja n 20 06 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
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We prove that the quantum group inclusion On ⊂ O ∗ n is “maximal”, where On is the usual orthogonal group and O ∗ n is the half-liberated orthogonal quantum group, in the sense that there is no intermediate compact quantum group On ⊂ G ⊂ O ∗ n . In order to prove this result, we use: (1) the isomorphism of projective versions PO∗ n ≃ PUn, (2) some maximality results for classical groups, obtain...
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تاریخ انتشار 2006