메뉴 건너뛰기




Volumn 157, Issue 2-3, 2001, Pages 121-133

Cosovereign Hopf algebras

Author keywords

16W30; 18D10

Indexed keywords


EID: 0037952322     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00024-4     Document Type: Article
Times cited : (42)

References (26)
  • 1
    • 0031329339 scopus 로고    scopus 로고
    • Le groupe quantique libre U(n)
    • Banica T. Le groupe quantique libre. U(n) Comm. Math. Phys. 190:1997;143-172.
    • (1997) Comm. Math. Phys. , vol.190 , pp. 143-172
    • Banica, T.1
  • 2
    • 22044436477 scopus 로고    scopus 로고
    • Mesure de Haar sur une algbre de Hopf et groupes quantiques réels
    • Bichon J. Mesure de Haar sur une algbre de Hopf et groupes quantiques réels. Comm. Algebra. 26(5):1998;1633-1649.
    • (1998) Comm. Algebra , vol.26 , Issue.5 , pp. 1633-1649
    • Bichon, J.1
  • 3
    • 0001114958 scopus 로고
    • CQG algebras: A direct algebraic approach to compact quantum groups
    • Dijkhuizen M.S., Koornwinder T.H. CQG algebras: a direct algebraic approach to compact quantum groups. Lett. Math. Phys. 32:1994;315-330.
    • (1994) Lett. Math. Phys. , vol.32 , pp. 315-330
    • Dijkhuizen, M.S.1    Koornwinder, T.H.2
  • 4
    • 0001317803 scopus 로고
    • Braided compact closed categories with applications to low-dimensional topology
    • Freyd P., Yetter D.N. Braided compact closed categories with applications to low-dimensional topology. Adv. in Math. 77:1989;156-182.
    • (1989) Adv. in Math. , vol.77 , pp. 156-182
    • Freyd, P.1    Yetter, D.N.2
  • 5
  • 6
    • 0000215959 scopus 로고
    • An introduction to Tannaka duality and quantum groups
    • Springer, Berlin
    • A. Joyal, R. Street, An introduction to Tannaka duality and quantum groups, Lecture Notes in Mathematics, Vol. 1488, Springer, Berlin, 1991 pp. 413-492.
    • (1991) Lecture Notes in Mathematics , vol.1488 , pp. 413-492
    • Joyal, A.1    Street, R.2
  • 7
    • 43949173985 scopus 로고
    • Braided tensor categories
    • Joyal A., Street R. Braided tensor categories. Adv. in Math. 102:1993;20-73.
    • (1993) Adv. in Math. , vol.102 , pp. 20-73
    • Joyal, A.1    Street, R.2
  • 9
    • 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
  • 10
    • 0000252412 scopus 로고
    • Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées
    • Maltsiniotis G. Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées. Cahiers Topologie Géom. Différentielle Catégoriques. 1995;195-288.
    • (1995) Cahiers Topologie Géom. Différentielle Catégoriques , pp. 195-288
    • Maltsiniotis, G.1
  • 12
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • Yu Reshetikhin N., Turaev V.G. Ribbon graphs and their invariants derived from quantum groups. Comm. Math. Phys. 127:1990;1-26.
    • (1990) Comm. Math. Phys. , vol.127 , pp. 1-26
    • Yu Reshetikhin, N.1    Turaev, V.G.2
  • 13
    • 84973997823 scopus 로고
    • Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif
    • Rosso M. Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. Duke Math. J. 61(1):1990;11-40.
    • (1990) Duke Math. J. , vol.61 , Issue.1 , pp. 11-40
    • Rosso, M.1
  • 15
    • 0003243309 scopus 로고
    • Tannaka duality for arbitrary Hopf algebras
    • Verlag Reinhard Fischer, Munich
    • P. Schauenburg, Tannaka duality for arbitrary Hopf algebras, Algebra Berichte, Vol. 66, Verlag Reinhard Fischer, Munich, 1992.
    • (1992) Algebra Berichte , vol.66
    • Schauenburg, P.1
  • 16
    • 0002227056 scopus 로고
    • On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation
    • Verlag Reinhard Fischer, Munich
    • P. Schauenburg, On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation, Algebra Berichte, Vol. 67, Verlag Reinhard Fischer, Munich, 1992.
    • (1992) Algebra Berichte , vol.67
    • Schauenburg, P.1
  • 17
    • 38149146658 scopus 로고
    • Tortile tensor categories
    • Shum M.C. Tortile tensor categories. J. Pure Appl. Algebra. 93(1):1993;57-110.
    • (1993) J. Pure Appl. Algebra , vol.93 , Issue.1 , pp. 57-110
    • Shum, M.C.1
  • 18
    • 0001761488 scopus 로고
    • The order of the antipode of finite-dimensional Hopf algebras
    • Taft E.J. The order of the antipode of finite-dimensional Hopf algebras. Proc. Nat. Acad. Sci. USA. 68(11):1971.
    • (1971) Proc. Nat. Acad. Sci. USA , vol.68 , Issue.11
    • Taft, E.J.1
  • 19
    • 0000093817 scopus 로고
    • The Yang-Baxter equation and invariants of links
    • Turaev V.G. The Yang-Baxter equation and invariants of links. Invent. Math. 92:1988;527-553.
    • (1988) Invent. Math. , vol.92 , pp. 527-553
    • Turaev, V.G.1
  • 20
    • 51249170732 scopus 로고
    • On Hopf algebras and rigid monoidal categories
    • Ulbrich K.H. On Hopf algebras and rigid monoidal categories. Israel J. Math. 72:1990;252-256.
    • (1990) Israel J. Math. , vol.72 , pp. 252-256
    • Ulbrich, K.H.1
  • 21
    • 0000313285 scopus 로고
    • Dual pairs of Hopf * -algebras
    • Van Daele A. Dual pairs of Hopf. * -algebras Bull. London Math. Soc. 25:1993;209-230.
    • (1993) Bull. London Math. Soc. , vol.25 , pp. 209-230
    • Van Daele, A.1
  • 22
    • 0030535546 scopus 로고    scopus 로고
    • Universal quantum groups
    • Van Daele A., Wang S. Universal quantum groups. Internat. J. Math. 7(2):1996;255-263.
    • (1996) Internat. J. Math. , vol.7 , Issue.2 , pp. 255-263
    • Van Daele, A.1    Wang, S.2
  • 24
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • Woronowicz S.L. Compact matrix pseudogroups. Comm. Math. Phys. 111:1987;613-665.
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 25
    • 0002119476 scopus 로고
    • Tannaka-Krein duality for compact matrix pseudogroups Twisted SU(N) groups
    • Woronowicz S.L. Tannaka-Krein duality for compact matrix pseudogroups Twisted. SU(N) groups Invent. Math. 93:1988;35-76.
    • (1988) Invent. Math. , vol.93 , pp. 35-76
    • Woronowicz, S.L.1
  • 26
    • 0001320392 scopus 로고
    • Framed tangles and a theorem of Deligne on braided deformations of tannakian categories
    • in: M. Gerstenhaber, J. Stasheff (Eds.), Deformation Theory and Quantum Groups with Applications to Mathematical Physics, American Mathematical Society, Providence, RI
    • D.N. Yetter, Framed tangles and a theorem of Deligne on braided deformations of tannakian categories, in: M. Gerstenhaber, J. Stasheff (Eds.), Deformation Theory and Quantum Groups with Applications to Mathematical Physics, Contemporary Mathematics, Vol. 134, American Mathematical Society, Providence, RI, 1992, pp. 325-345.
    • (1992) Contemporary Mathematics , vol.134 , pp. 325-345
    • Yetter, D.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.