Kac-Paljutkin Quantum Group as a Quantum Subgroup of the quantum SU(2)

• Autorzy: Kitagawa Megumi

Identyfikatory

DOI

10.14708/cm.v59i1-2.6466

• Języki publikacji: EN

Abstrakty

EN

We show that the Kac-Paljutkin Hopf algebra appears as a quotient of C(SU_-1 (2)), which means that the corresponding quantum group G_KP can be regarded as a quantum subgroup of SU_-1 (2). We combine the fact that corepresentation category of the Kac-Paljutkin Hopf algebra is a Tambara-Yamagami tensor category associated with the Krein 4-group and the method of graded twisting of Hopf algebras, to construct the Hopf ∗-homomorphism.

Słowa kluczowe

EN

quantum group; Kac-Paljutkin Hopf algebra; operator algebra

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: Vol. 59, No. 1/2
• Strony: 47--61
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Kitagawa Megumi

• Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bynkyo-ku, 112-8610 Tokyo, Japan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).