Geodesic
Kac−Paljutkin quantum group as a quantum subgroup of the quantum SU(2)
Commentationes Mathematicae, Tome 59 (2019) no. 1-2, p. 47−61.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v59i1-2.6466
Classification : 16T05, 18D10
Mots-clés : Quantum group, Kac−Paljutkin Hopf algebra, operator algebra 
@article{10_14708_cm_v59i1_2_6466,
     author = {Megumi Kitagawa},
     title = {Kac\ensuremath{-}Paljutkin quantum group as a quantum subgroup of the quantum {SU(2)}},
     journal = {Commentationes Mathematicae},
     pages = { 47\ensuremath{-}61},
     publisher = {mathdoc},
     volume = {59},
     number = {1-2},
     year = {2019},
     doi = {10.14708/cm.v59i1-2.6466},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6466/}
}
TY  - JOUR
AU  - Megumi Kitagawa
TI  - Kac−Paljutkin quantum group as a quantum subgroup of the quantum SU(2)
JO  - Commentationes Mathematicae
PY  - 2019
SP  -  47−61
VL  - 59
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6466/
DO  - 10.14708/cm.v59i1-2.6466
LA  - pl
ID  - 10_14708_cm_v59i1_2_6466
ER  - 
%0 Journal Article
%A Megumi Kitagawa
%T Kac−Paljutkin quantum group as a quantum subgroup of the quantum SU(2)
%J Commentationes Mathematicae
%D 2019
%P  47−61
%V 59
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6466/
%R 10.14708/cm.v59i1-2.6466
%G pl
%F 10_14708_cm_v59i1_2_6466
Megumi Kitagawa. Kac−Paljutkin quantum group as a quantum subgroup of the quantum SU(2). Commentationes Mathematicae, Tome 59 (2019) no. 1-2, p.  47−61. doi : 10.14708/cm.v59i1-2.6466. http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6466/

Cité par Sources :