- Tytuł:
- Kac−Paljutkin quantum group as a quantum subgroup of the quantum SU(2)
- Autorzy:
- Kitagawa, Megumi
- Powiązania:
- https://bibliotekanauki.pl/articles/1912842.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Quantum group
Kac−Paljutkin Hopf algebra
operator algebra - Opis:
- We show that the Kac−Paljutkin Hopf algebra appears as a quotient of \(C(\mathit{SU}_{-1}(2))\), which means that the corresponding quantum group \(G_{\kp}\) can be regarded as a quantum subgroup of \(\mathit{SU}_{-1}(2)\). 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.
- Źródło:
-
Commentationes Mathematicae; 2019, 59, 1-2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł