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An example of finite dimensional Kac algebras of Kac-Paljutkin type
Author(s):
Yoshihiro
Sekine
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1139-1147.
MSC (1991):
Primary 46L37
MathSciNet review:
1307564
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Abstract:
An example of finite dimensional Kac algebras of Kac-Paljutkin type is given.
References:
- 1.
- M.-C.David, Paragroupe d'Adrian Ocneanu et algebre de Kac, Pacific J. Math. (to appear).
- 2.
- M.Enock and J.M.Schwartz, Une dualité dans les algèbres de von Neumann, Bull. Soc. Math. France Suppl. Mem., 44(1975),1-144. MR 56:1091
- 3.
- M.Enock and J.M.Schwartz, Kac algebras and duality of locally compact groups, 1992, Springer. MR 94e:46001
- 4.
- V.Jones, Index for subfactors, Invent. Math., 72(1983),1-25. MR 84d:46097
- 5.
- G.I.Kac and V.G.Paljutkin, Finite ring groups, Trans. Moscow Math. Soc., (1966),251-294. MR 34:8211
- 6.
- R.Longo, A duality for Hopf algebras and for subfactors, Comm. Math. Phys., 159(1994), 133-150. CMP 94:07
- 7.
- S.Majid, Physics for algebraists : non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction, J. Algebra, 130(1990),17-64. MR 91j:16050
- 8.
- S.Majid, Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations, Pacific J. Math., 141(1990),311-332. MR 91a:17009
- 9.
- S.Majid, Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations, J. Funct. Anal., 95(1991),291-319. MR 92b:46088
- 10.
- A.Masuoka, Semisimple Hopf algebras of dimension 6, 8 , Israel J. Math. (to appear).
- 11.
- A.Ocneanu, Quantized groups, string algebras and Galois theory for algebras, Operator Algebras and Applications, vol.2, London Math. Soc. Lecture Note Series Vol.136, Cambridge Univ. Press, 119-172(1988). MR 91k:46068
- 12.
- A.Ocneanu, Quantum symmetry, differential geometry of finite graphs and classification of subfactors, University of Tokyo Seminary Notes 45, ( Notes recorded by Y.Kawahigashi ), 1991.
- 13.
- S.Popa, Classification of subfactors : the reduction to commuting squares, Invent. Math., 101(1990),19-43. MR 91h:46109
- 14.
- S.Popa, Classification of amenable subfactors of type II, Acta Math., 172(1994), 163-255. MR 95f:46105
- 15.
- W.Szymanski, Finite index subfactors and Hopf algebra crossed products, Proc. Amer. Math. Soc., 120(1994),519-528. MR 94d:46061
- 16.
- M.Takeuchi, Matched pairs of groups and bismash products of Hopf algebras, Comm. Algebra, 9(1981),841-882. MR 83f:16013
- 17.
- T.Yamanouchi, Construction of an outer action of a finite-dimensional Kac algebra on the AFD factor of type
, Inter. J. Math., 4(1993),1007-1045. MR 95c:46108
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Additional Information:
Yoshihiro
Sekine
Affiliation:
Graduate School of Mathematics, Kyushu University, Hakozaki, Fukuoka, 812, Japan
Email:
sekine@math.kyushu-u.ac.jp
DOI:
10.1090/S0002-9939-96-03199-1
PII:
S 0002-9939(96)03199-1
Keywords:
Kac algebra,
paragroup
Received by editor(s):
October 3, 1994
Additional Notes:
This work was supported in part by a Grant-in-Aid for Encouragement of Young Scientists from the Ministry of Education, Science and Culture
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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