메뉴 건너뛰기
Journal of Algebra
Volumn 200, Issue 1, 1998, Pages 312-333
Finiteness Conditions, Co-Frobenius Hopf Algebras, and Quantum Groups
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0001686275     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7238     Document Type: Article
Times cited : (36)
References (27)
  • 1
    • 0004089001 scopus 로고
    • Cambridge: Cambridge Univ. Press
    • Abe E. Hopf Algebras. 1977;Cambridge Univ. Press, Cambridge.
    • (1977) Hopf Algebras
    • Abe, E.1
  • 2
    • 0000157965 scopus 로고
    • Coproper coalgebras
    • Allen H., Trushin D. Coproper coalgebras. J. Algebra. 54:1978;203-215.
    • (1978) J. Algebra , vol.54 , pp. 203-215
    • Allen, H.1    Trushin, D.2
  • 5
    • 0003167469 scopus 로고
    • Coactions, smash products and Hopf modules
    • Cai C., Chen H. Coactions, smash products and Hopf modules. J. Algebra. 167:1994;85-99.
    • (1994) J. Algebra , vol.167 , pp. 85-99
    • Cai, C.1    Chen, H.2
  • 6
    • 0039143818 scopus 로고    scopus 로고
    • Crossed coproducts and cleft coextensions
    • Dascalescu S., Militaru G., Raianu Ş. Crossed coproducts and cleft coextensions. Comm. Algebra. 24:1996;1229-1243.
    • (1996) Comm. Algebra , vol.24 , pp. 1229-1243
    • Dascalescu, S.1    Militaru, G.2    Raianu, Ş.3
  • 7
    • 0001028979 scopus 로고
    • Finite Hopf-Galois coextensions, crossed coproducts and duality
    • Dascalescu S., Raianu Ş., Zhang Y. H. Finite Hopf-Galois coextensions, crossed coproducts and duality. J. Algebra. 178:1995;400-413.
    • (1995) J. Algebra , vol.178 , pp. 400-413
    • Dascalescu, S.1    Raianu, Ş.2    Zhang, Y.H.3
  • 8
    • 0002858328 scopus 로고
    • Homological coalgebra
    • Doi Y. Homological coalgebra. J. Math. Soc. Japan. 33:1981;31-50.
    • (1981) J. Math. Soc. Japan , vol.33 , pp. 31-50
    • Doi, Y.1
  • 9
    • 0000849860 scopus 로고
    • Cleft comodule algebras and Hopf modules
    • Doi Y. Cleft comodule algebras and Hopf modules. Comm. Algebra. 12:1984;1155-1169.
    • (1984) Comm. Algebra , vol.12 , pp. 1155-1169
    • Doi, Y.1
  • 10
    • 21844499325 scopus 로고
    • Quaternion algebras and Hopf crossed products
    • Doi Y., Takeuchi M. Quaternion algebras and Hopf crossed products. Comm. Algebra. 23:1995;3291-3325.
    • (1995) Comm. Algebra , vol.23 , pp. 3291-3325
    • Doi, Y.1    Takeuchi, M.2
  • 11
    • 0001027168 scopus 로고
    • Extensions of Hopf algebras and their cohomological description
    • Hofstetter I. Extensions of Hopf algebras and their cohomological description. J. Algebra. 164:1994;264-298.
    • (1994) J. Algebra , vol.164 , pp. 264-298
    • Hofstetter, I.1
  • 12
    • 0003356644 scopus 로고
    • Quantum Groups
    • New York/Berlin: Springer-Verlag
    • Kassel C. Quantum Groups. Graduate Texts in Mathematics. 155:1995;Springer-Verlag, New York/Berlin.
    • (1995) Graduate Texts in Mathematics , vol.155
    • Kassel, C.1
  • 13
    • 0000300174 scopus 로고
    • Characters of Hopf algebras
    • Larson R. G. Characters of Hopf algebras. J. Algebra. 17:1971;352-368.
    • (1971) J. Algebra , vol.17 , pp. 352-368
    • Larson, R.G.1
  • 14
    • 0001420142 scopus 로고
    • Semiperfect coalgebras
    • Lin B. I. P. Semiperfect coalgebras. J. Algebra. 49:1977;357-373.
    • (1977) J. Algebra , vol.49 , pp. 357-373
    • Lin, B.I.P.1
  • 16
    • 0007090239 scopus 로고
    • Bicrossproduct structure of the quantum Weyl group
    • Majid S., Soibelman Ya. S. Bicrossproduct structure of the quantum Weyl group. J. Algebra. 163:1994;68-87.
    • (1994) J. Algebra , vol.163 , pp. 68-87
    • Majid, S.1    Soibelman Ya., S.2
  • 17
    • 0003229461 scopus 로고
    • Hopf algebras and their actions on rings
    • Washington: Conf. Board Math. Sci.
    • Montgomery S. Hopf algebras and their actions on rings. CBMS Regional Conf. Ser. in Math. 82:1993;Conf. Board Math. Sci. Washington.
    • (1993) CBMS Regional Conf. Ser. in Math. , vol.82
    • Montgomery, S.1
  • 18
    • 0001478075 scopus 로고
    • The order of the antipode of a finite dimensional Hopf algebra is finite
    • Radford D. The order of the antipode of a finite dimensional Hopf algebra is finite. Amer. J. Math. 98:1976;333-355.
    • (1976) Amer. J. Math. , vol.98 , pp. 333-355
    • Radford, D.1
  • 19
    • 0001299159 scopus 로고
    • Finiteness conditions for a Hopf algebra with non-zero integral
    • Radford D. Finiteness conditions for a Hopf algebra with non-zero integral. J. Algebra. 46:1977;189-195.
    • (1977) J. Algebra , vol.46 , pp. 189-195
    • Radford, D.1
  • 20
    • 21844497634 scopus 로고
    • The uniqueness of integrals: A homological approach
    • Ştefan D. The uniqueness of integrals: A homological approach. Comm. Algebra. 23:1995;1657-1662.
    • (1995) Comm. Algebra , vol.23 , pp. 1657-1662
    • Ştefan, D.1
  • 21
    • 0001548730 scopus 로고
    • The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras
    • Sullivan J. The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras. J. Algebra. 19:1971;426-440.
    • (1971) J. Algebra , vol.19 , pp. 426-440
    • Sullivan, J.1
  • 23
    • 0001134967 scopus 로고
    • Morita theorems for categories of comodules
    • Takeuchi M. Morita theorems for categories of comodules. J. Fac. Sci. Univ. Tokyo. 24:1977;629-644.
    • (1977) J. Fac. Sci. Univ. Tokyo , vol.24 , pp. 629-644
    • Takeuchi, M.1
  • 25
    • 0040793532 scopus 로고    scopus 로고
    • An algebraic framework for group duality
    • in press
    • A. Van, Daele, An algebraic framework for group duality, Adv. in Math, in press.
    • Adv. in Math
    • Van Daele, A.1
  • 26
    • 0040793531 scopus 로고    scopus 로고
    • Y. H. Zhang
    • Y. H. Zhang.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.