Some further classification results on semisimple hopf algebras

Communications in Algebra

Volumn 24, Issue 1, 1996, Pages 307-329

  Masuoka, Akira ^a  

^a SHIMANE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009389531     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879608825569     Document Type: Article

References (20)

1. [F] Fukuda, N., Semisimple Hopf algebras of dimension 12, preprint, Shimane University.
2. [JL] James, G. and Liebeck, M., "Representations and Characters of Groups", Cambridge Univ. Press, London, 1993.
3. [LR1] Larson, R. and Radford, D., Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple, J. Algebra 117(1988), 267-289.
4. [LR2] Larson, R. and Radford, D., Semisimple cosemi-simple Hopf algebras. Amer. J. Math. 109(1987), 187-195.
5. [LR3] Larson, R. and Radford, D., Semisimple Hopf algebras, J. Algebra, to appear.
6. [M1] Masuoka, A., Freeness of Hopf algebras over coideal subalgebras, Comm. Algebra 20 No.5(1992), 1353-1373.
7. [M2] Masuoka, A., Coideal subalgebras in finite Hopf algebras, J. Algebra 163(1994), 819-831.
8. [M3] Masuoka, A., Semisimple Hopf algebras of dimension 6, 8, Israel J. Math., in press.
9. 3 obtained by extension, J. Algebra, submitted.
10. n theorem for semisimple Hopf algebras, Proc. AMS, to appear.
11. [M6] Masuoka, A., Semisimple Hopf algebras of dimension 2p, Comm. Algebra 23 No.5(1995), 1931-1940.
12. [MD] Masuoka, A. and Doi, Y., Generalization of cleft comodule algebras, Comm. Algebra 20 No.12(1992), 3703-3721.
13. [Mo] Montgomery, S., "Hopf Algebras and Their Actions on Rings", CBMS No.82, AMS, 1993.
14. [NZ] Nichols, W. and Zoeller, M., A Hopf algebra freeness theorem. Amer. J. Math. 111(1989), 381-385.
15. [R] Radford, D., The structure of Hopf algebras with a projection, J. Algebra 92(1985), 322-347.
16. [S] Schneider, H.-J., Normal basis and transitivity of crossed products for Hopf algebras, J. Algebra 152(1992), 289-312.
17. [Sw] Sweedler, M., "Hopf Algebras", Benjamin, New York, 1969.
18. [T] Takeuchi, M., Matched pairs of groups and bismash products of Hopf algebras, Comm. Algebra 9 No.8 (1981), 841-882.
19. [Zs] Zhu, Shenglin, On finite dimensional semisimple Hopf algebras, Comm. Algebra 21 No.11(1993), 3871-3885.
20. [Zy] Zhu, Yonchang, Hopf algebras of prime dimension, International Mathematical Research Notices No.l (1994), 53-59.