메뉴 건너뛰기




Volumn 283, Issue 1, 2005, Pages 42-62

Some interrelations between Hopf algebras and their duals

Author keywords

[No Author keywords available]

Indexed keywords


EID: 10144255106     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2004.01.006     Document Type: Article
Times cited : (11)

References (21)
  • 2
    • 0001867033 scopus 로고    scopus 로고
    • Invariants of the adjoint coaction and Yetter-Drinfeld categories
    • Cohen M. Zhu S. Invariants of the adjoint coaction and Yetter-Drinfeld categories J. Pure Appl. Algebra 159 2-3 2001 149-171
    • (2001) J. Pure Appl. Algebra , vol.159 , Issue.2-3 , pp. 149-171
    • Cohen, M.1    Zhu, S.2
  • 3
    • 0000481618 scopus 로고
    • Quantum groups
    • Berkeley, CA
    • Drinfeld V.G. Quantum groups, in: Proc. Int. Congr. Math., vol. 1 Berkeley, CA 1986 789-820
    • (1986) Proc. Int. Congr. Math. , vol.1 , pp. 789-820
    • Drinfeld, V.G.1
  • 4
    • 0000805003 scopus 로고
    • On almost cocommutative Hopf algebras
    • translation
    • Drinfeld V.G. On almost cocommutative Hopf algebras Leningrad Math. J. 1 1990 321-342 translation
    • (1990) Leningrad Math. J. , vol.1 , pp. 321-342
    • Drinfeld, V.G.1
  • 6
    • 0033244154 scopus 로고    scopus 로고
    • On the exponent of finite-dimensional Hopf algebras
    • Etingof P. Gelaki S. On the exponent of finite-dimensional Hopf algebras Math. Res. Lett. 6 1999 131-140
    • (1999) Math. Res. Lett. , vol.6 , pp. 131-140
    • Etingof, P.1    Gelaki, S.2
  • 7
    • 0036330505 scopus 로고    scopus 로고
    • On the quasi-exponent of finite-dimensional Hopf algebras
    • Etingof P. Gelaki S. On the quasi-exponent of finite-dimensional Hopf algebras Math. Res. Lett. 9 2002 277-287
    • (2002) Math. Res. Lett. , vol.9 , pp. 277-287
    • Etingof, P.1    Gelaki, S.2
  • 8
    • 23044519023 scopus 로고    scopus 로고
    • n)′ which give rise to certain invariants of knots, links and 3-manifolds
    • n)′ which give rise to certain invariants of knots, links and 3-manifolds Trans. Amer. Math. Soc. 352 8 2000 3821-3836
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.8 , pp. 3821-3836
    • Gelaki, S.1    Westreich, S.2
  • 9
    • 0003357092 scopus 로고    scopus 로고
    • New Examples of Frobenius Extensions
    • Amer. Math. Soc., Providence, RI
    • Kadison L. New Examples of Frobenius Extensions Univ. Lecture Ser. vol. 14 1999 Amer. Math. Soc., Providence, RI
    • (1999) Univ. Lecture Ser. , vol.14
    • Kadison, L.1
  • 10
    • 66149099809 scopus 로고    scopus 로고
    • A generalized power map for Hopf algebras
    • S. Caenepeel (Ed.), Proc. Colloq. in Brussels
    • Kashina Y. A generalized power map for Hopf algebras, in: Caenepeel S. (Ed.) Hopf Algebras and Quantum Groups, Proc. Colloq. in Brussels, 1998
    • (1998) Hopf Algebras and Quantum Groups
    • Kashina, Y.1
  • 11
    • 0009831381 scopus 로고    scopus 로고
    • Self-dual modules of semisimple Hopf algebras
    • preprint, math.RA/0106254
    • Kashina Y. Sommerhaeuser Y. Zhu Y. Self-dual modules of semisimple Hopf algebras, preprint, math.RA/0106254
    • Kashina, Y.1    Sommerhaeuser, Y.2    Zhu, Y.3
  • 12
    • 38249000425 scopus 로고
    • A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
    • Kauffman L. Radford D. A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra J. Algebra 159 1 1993 98-114
    • (1993) J. Algebra , vol.159 , Issue.1 , pp. 98-114
    • Kauffman, L.1    Radford, D.2
  • 13
    • 0002829606 scopus 로고
    • An associative orthogonal bilinear form for Hopf algebras
    • Larson R. Sweedler S. An associative orthogonal bilinear form for Hopf algebras Amer. J. Math. 91 1969 75-94
    • (1969) Amer. J. Math. , vol.91 , pp. 75-94
    • Larson, R.1    Sweedler, S.2
  • 14
    • 84972979554 scopus 로고
    • Two dual classes of bialgebras related to the concept of "quantum groups" and "quantum Lie algebras"
    • Larson R. Towber J. Two dual classes of bialgebras related to the concept of "quantum groups" and "quantum Lie algebras" Comm. Algebra 19 12 1991 3295-3345
    • (1991) Comm. Algebra , vol.19 , Issue.12 , pp. 3295-3345
    • Larson, R.1    Towber, J.2
  • 15
    • 0000548255 scopus 로고
    • Über Untergruppen endlicher algebraischer Gruppen
    • Oberst U. Schneider H.-J. Über Untergruppen endlicher algebraischer Gruppen Manuscripta Math. 8 1973 217-241
    • (1973) Manuscripta Math. , vol.8 , pp. 217-241
    • Oberst, U.1    Schneider, H.-J.2
  • 16
    • 0000363809 scopus 로고
    • The trace function and Hopf algebras
    • Radford D. The trace function and Hopf algebras J. Algebra 163 3 1994 583-622
    • (1994) J. Algebra , vol.163 , Issue.3 , pp. 583-622
    • Radford, D.1
  • 17
    • 85170156180 scopus 로고
    • On Kauffman's knot invariants arising from finite-dimensional Hopf algebras
    • Advances in Hopf Algebras, Chicago, IL, 1992, Dekker, New York
    • Radford D. On Kauffman's knot invariants arising from finite-dimensional Hopf algebras, in: Advances in Hopf Algebras, Chicago, IL, 1992, in: Lecture Notes in Pure and Appl. Math. vol. 158 1994 205-266 Dekker, New York
    • (1994) Lecture Notes in Pure and Appl. Math. , vol.158 , pp. 205-266
    • Radford, D.1
  • 19
    • 0002227056 scopus 로고
    • On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation
    • Fischer, Munich
    • Schauenburg P. On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation, in: Algebra Ber. vol. 67 1992 Fischer, Munich
    • (1992) Algebra Ber. , vol.67
    • Schauenburg, P.1
  • 20
    • 10144239450 scopus 로고    scopus 로고
    • Das Drinfeld-Doppel und die Jones-Konstruction
    • preprint
    • Y. Sommerhauser, Das Drinfeld-Doppel und die Jones-Konstruction, preprint
    • Sommerhauser, Y.1
  • 21
    • 21944434164 scopus 로고    scopus 로고
    • A commuting pair in Hopf algebras
    • Zhu Y. A commuting pair in Hopf algebras Proc. Amer. Math. Soc. 125 10 1997 2847-2851
    • (1997) Proc. Amer. Math. Soc. , vol.125 , Issue.10 , pp. 2847-2851
    • Zhu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.