메뉴 건너뛰기




Volumn 278, Issue 1, 2004, Pages 43-75

Double construction for crossed Hopf coalgebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3242656941     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2004.03.019     Document Type: Article
Times cited : (65)

References (30)
  • 1
    • 0003355798 scopus 로고
    • Hopf Algebras
    • Cambridge, UK: Cambridge Univ. Press, MR 83a:16010
    • Abe E Hopf Algebras Cambridge Tracts in Math. vol. 74 1980 Cambridge Univ. Press Cambridge, UK MR 83a:16010
    • (1980) Cambridge Tracts in Math. , vol.74
    • Abe, E.1
  • 3
    • 0032219320 scopus 로고    scopus 로고
    • Some properties of finite-dimensional semisimple Hopf algebras
    • MR 99e:16050
    • Etingof P Gelaki S Some properties of finite-dimensional semisimple Hopf algebras Math. Res. Lett. 5 1998 191-197 MR 99e:16050
    • (1998) Math. Res. Lett. , vol.5 , pp. 191-197
    • Etingof, P.1    Gelaki, S.2
  • 4
    • 0003361037 scopus 로고
    • Abstract Harmonic Analysis
    • New York: Academic Press, vol. I: Structure of Topological Groups, Integration Theory, Group Representations, MR 28 #158
    • Hewitt E Ross K.A. Abstract Harmonic Analysis, vol. I: Structure of Topological Groups, Integration Theory, Group Representations Grundlehren Math. Wiss. vol. 115 1963 Academic Press New York MR 28 #158
    • (1963) Grundlehren Math. Wiss. , vol.115
    • Hewitt, E.1    Ross, K.A.2
  • 5
    • 43949173985 scopus 로고
    • Braided tensor categories
    • MR 94m:18008
    • Joyal A Street R Braided tensor categories Adv. Math. 102 1 1993 20-78 MR 94m:18008
    • (1993) Adv. Math. , vol.102 , Issue.1 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 6
    • 0003356644 scopus 로고
    • Quantum Groups
    • New York: Springer-Verlag, MR 96e:17041
    • Kassel C Quantum Groups Grad. Texts in Math. vol. 155 1995 Springer-Verlag New York MR 96e:17041
    • (1995) Grad. Texts in Math. , vol.155
    • Kassel, C.1
  • 7
    • 0000126054 scopus 로고
    • Double construction for monoidal categories
    • MR 96m:18015
    • Kassel C Turaev V.G Double construction for monoidal categories Acta Math. 175 1 1995 1-48 MR 96m:18015
    • (1995) Acta Math. , vol.175 , Issue.1 , pp. 1-48
    • Kassel, C.1    Turaev, V.G.2
  • 8
    • 0000486683 scopus 로고
    • Semisimple cosemisimple Hopf algebras
    • MR 89a:16011
    • Larson R.G Radford D.E Semisimple cosemisimple Hopf algebras Amer. J. Math. 110 1 1988 187-195 MR 89a:16011
    • (1988) Amer. J. Math. , vol.110 , Issue.1 , pp. 187-195
    • Larson, R.G.1    Radford, D.E.2
  • 9
    • 3242726229 scopus 로고    scopus 로고
    • Quantum groups and ribbon G-categories
    • Preprint, math.QA/0103017
    • Le T Turaev V.G Quantum groups and ribbon G-categories Preprint math.QA/0103017
    • Le, T.1    Turaev, V.G.2
  • 10
    • 0002036064 scopus 로고
    • Physics for algebraists: Noncommutative and noncocommutative Hopf algebras by a bicrossproduct construction
    • MR 91j:16050
    • Majid S Physics for algebraists: noncommutative and noncocommutative Hopf algebras by a bicrossproduct construction J. Algebra 130 1 1990 17-64 MR 91j:16050
    • (1990) J. Algebra , vol.130 , Issue.1 , pp. 17-64
    • Majid, S.1
  • 12
    • 84973934737 scopus 로고
    • Invariants of 3-manifolds derived from universal invariants of framed links
    • MR 95j:57009
    • Ohtsuki T Invariants of 3-manifolds derived from universal invariants of framed links Math. Proc. Cambridge Philos. Soc. 117 2 1995 259-273 MR 95j:57009
    • (1995) Math. Proc. Cambridge Philos. Soc. , vol.117 , Issue.2 , pp. 259-273
    • Ohtsuki, T.1
  • 13
    • 43949166060 scopus 로고
    • Minimal quasitriangular Hopf algebras
    • MR 94c:16052
    • Radford D.E Minimal quasitriangular Hopf algebras J. Algebra 157 2 1993 285-315 MR 94c:16052
    • (1993) J. Algebra , vol.157 , Issue.2 , pp. 285-315
    • Radford, D.E.1
  • 14
    • 45549118139 scopus 로고
    • Quantum R-matrices and factorization problems
    • MR 92g:17019
    • Reshetikhin N.Yu Semenov-Tian-Shansky M.A Quantum R-matrices and factorization problems J. Geom. Phys. 5 4 1988 533-550 MR 92g:17019
    • (1988) J. Geom. Phys. , vol.5 , Issue.4 , pp. 533-550
    • Reshetikhin, N.Yu.1    Semenov-Tian-Shansky, M.A.2
  • 15
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • MR 91c:57016
    • Reshetikhin N.Yu Ribbon graphs and their invariants derived from quantum groups Comm. Math. Phys. 127 1 1990 1-26 MR 91c:57016
    • (1990) Comm. Math. Phys. , vol.127 , Issue.1 , pp. 1-26
    • Reshetikhin, N.Yu.1    Turaev, V.G.2
  • 16
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • MR 92b:57024
    • Reshetikhin N.Yu Turaev V.G Invariants of 3-manifolds via link polynomials and quantum groups Invent. Math. 103 3 1991 547-597 MR 92b:57024
    • (1991) Invent. Math. , vol.103 , Issue.3 , pp. 547-597
    • Reshetikhin, N.Yu.1    Turaev, V.G.2
  • 17
    • 0009492446 scopus 로고
    • Lectures on Hopf algebras
    • available at the site
    • Schneider H.-J Lectures on Hopf algebras available at the site http://www.mathematik.uni-muenchen.de/~hanssch/Publications.html 1995
    • (1995)
    • Schneider, H.-J.1
  • 18
    • 0032505951 scopus 로고    scopus 로고
    • The quantum double and related constructions
    • MR 99e:16054
    • Street R The quantum double and related constructions J. Pure Appl. Algebra 132 2 1998 195-206 MR 99e:16054
    • (1998) J. Pure Appl. Algebra , vol.132 , Issue.2 , pp. 195-206
    • Street, R.1
  • 20
    • 0000027850 scopus 로고
    • Integrals for Hopf algebras
    • MR 40/5705
    • Sweedler M.E Integrals for Hopf algebras Ann. of Math. 89 2 1969 323-335 MR 39/4167
    • (1969) Ann. of Math. , vol.89 , Issue.2 , pp. 323-335
    • Sweedler, M.E.1
  • 21
    • 0004313164 scopus 로고    scopus 로고
    • Homotopy field theory in dimension 2 and group-algebras
    • Preprint, math.QA/9910010
    • Turaev V.G Homotopy field theory in dimension 2 and group-algebras Preprint math.QA/9910010
    • Turaev, V.G.1
  • 22
    • 0004313166 scopus 로고    scopus 로고
    • Homotopy field theory in dimension 3 and crossed group-categories
    • Preprint, math.GT/000529
    • Turaev V.G Homotopy field theory in dimension 3 and crossed group-categories Preprint math.GT/000529
    • Turaev, V.G.1
  • 23
    • 0032472561 scopus 로고    scopus 로고
    • 2-cocycles and twisting of Kac algebras
    • MR 99b:46113
    • Vainerman L 2-cocycles and twisting of Kac algebras Comm. Math. Phys. 191 3 1998 697-721 MR 99b:46113
    • (1998) Comm. Math. Phys. , vol.191 , Issue.3 , pp. 697-721
    • Vainerman, L.1
  • 25
    • 0037042566 scopus 로고    scopus 로고
    • Hopf group-coalgebras
    • Virelizier A Hopf group-coalgebras J. Pure Appl. Algebra 171 1 2002 75-122
    • (2002) J. Pure Appl. Algebra , vol.171 , Issue.1 , pp. 75-122
    • Virelizier, A.1
  • 26
    • 3342918813 scopus 로고    scopus 로고
    • Algèbres de Hopf graduées et fibrés plats sur le 3-variétés
    • (in English), PhD thesis, Université Louis Pasteaur (Strasbourg)
    • A. Virelizier, Algèbres de Hopf graduées et fibrés plats sur le 3-variétés (in English), PhD thesis, Université Louis Pasteaur (Strasbourg), 2001
    • (2001)
    • Virelizier, A.1
  • 27
    • 84974224281 scopus 로고
    • Quantum groups and representations of monoidal categories
    • MR 91k:16028
    • Yetter D.N Quantum groups and representations of monoidal categories Math. Proc. Cambridge Philos. Soc. 108 2 1990 261-290 MR 91k:16028
    • (1990) Math. Proc. Cambridge Philos. Soc. , vol.108 , Issue.2 , pp. 261-290
    • Yetter, D.N.1
  • 28
    • 25044478068 scopus 로고    scopus 로고
    • Bicrossproduct of crossed group coalgebras
    • In preparation
    • M. Zunino, Bicrossproduct of crossed group coalgebras, in preparation
    • Zunino, M.1
  • 29
    • 3242675426 scopus 로고    scopus 로고
    • Tannaka Theory for Turaev crossed structures
    • In preparation
    • M. Zunino, Tannaka Theory for Turaev crossed structures, in preparation
    • Zunino, M.1
  • 30
    • 3242671842 scopus 로고    scopus 로고
    • Yang-Baxter modules for Turaev crossed structures
    • In press
    • M. Zunino, Yang-Baxter modules for Turaev crossed structures, J. Pure Appl. Algebra, in press
    • J. Pure Appl. Algebra
    • Zunino, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.