메뉴 건너뛰기




Volumn 190, Issue 1, 2005, Pages 161-195

Central invariants and Frobenius - Schur indicators for semisimple quasi-Hopf algebras

Author keywords

Frobenius Schur indicators; Gauge equivalence; Quasi Hopf algebras; Tensor categories

Indexed keywords


EID: 6944234863     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aim.2003.12.004     Document Type: Article
Times cited : (40)

References (28)
  • 1
    • 21144484691 scopus 로고
    • Quasi-quantum groups, knots, three-manifolds, and topological field theory
    • Altschüler D. Coste A. Quasi-quantum groups, knots, three-manifolds, and topological field theory Comm. Math. Phys. 150 1 1992 83-107
    • (1992) Comm. Math. Phys. , vol.150 , Issue.1 , pp. 83-107
    • Altschüler, D.1    Coste, A.2
  • 3
    • 0038906111 scopus 로고    scopus 로고
    • The Frobenius-Schur indicator in conformal field theory
    • Bantay P. The Frobenius-Schur indicator in conformal field theory Phys. Lett. B 394 1-2 1997 87-88
    • (1997) Phys. Lett. B , vol.394 , Issue.1-2 , pp. 87-88
    • Bantay, P.1
  • 4
    • 0034739098 scopus 로고    scopus 로고
    • Frobenius-Schur indicators, the Klein-bottle amplitude, and the principle of orbifold covariance
    • Bantay P. Frobenius-Schur indicators, the Klein-bottle amplitude, and the principle of orbifold covariance Phys. Lett. B 488 2 2000 207-210
    • (2000) Phys. Lett. B , vol.488 , Issue.2 , pp. 207-210
    • Bantay, P.1
  • 5
    • 6944232736 scopus 로고    scopus 로고
    • Private communication
    • P. Bantay, Private communication, 2002
    • (2002)
    • Bantay, P.1
  • 7
    • 1542648679 scopus 로고
    • Quasi-Hopf algebras, group cohomology and orbifold models [MR 92m:81238]
    • (Pavia, 1990), World Science Publishing, River Edge, NJ
    • R. Dijkgraaf, V. Pasquier, P. Roche, Quasi-Hopf algebras, group cohomology and orbifold models [MR 92m:81238], in: Integrable Systems and Quantum Groups (Pavia, 1990), World Science Publishing, River Edge, NJ, 1992, pp. 75-98
    • (1992) Integrable Systems and Quantum Groups , pp. 75-98
    • Dijkgraaf, R.1    Pasquier, V.2    Roche, P.3
  • 9
    • 0036361135 scopus 로고    scopus 로고
    • On families of triangular Hopf algebras
    • P. Etingof, S. Gelaki, On families of triangular Hopf algebras, Internat. Math. Res. Not. (14) (2002) 757-768
    • (2002) Internat. Math. Res. Not. , Issue.14 , pp. 757-768
    • Etingof, P.1    Gelaki, S.2
  • 10
    • 0013354602 scopus 로고    scopus 로고
    • On fusion categories
    • preprint, arXiv:math.QA/0203060P
    • Etingof, D. Nikshych, V. Ostrik, On fusion categories, preprint, arXiv:math.QA/0203060
    • Etingof, P.1    Nikshych, D.2    Ostrik, V.3
  • 11
    • 0039414357 scopus 로고
    • Coherence theorems via knot theory
    • Freyd P. Yetter D.N. Coherence theorems via knot theory J. Pure Appl. Algebra 78 1 1992 49-76
    • (1992) J. Pure Appl. Algebra , vol.78 , Issue.1 , pp. 49-76
    • Freyd, P.1    Yetter, D.N.2
  • 13
    • 0038849916 scopus 로고    scopus 로고
    • Diagonal crossed products by duals of quasi-quantum groups
    • Hausser F. Nill F. Diagonal crossed products by duals of quasi-quantum groups Rev. Math. Phys. 11 5 1999 553-629
    • (1999) Rev. Math. Phys. , vol.11 , Issue.5 , pp. 553-629
    • Hausser, F.1    Nill, F.2
  • 14
    • 0033479633 scopus 로고    scopus 로고
    • Doubles of quasi-quantum groups
    • Hausser F. Nill F. Doubles of quasi-quantum groups Comm. Math. Phys. 199 3 1999 547-589
    • (1999) Comm. Math. Phys. , vol.199 , Issue.3 , pp. 547-589
    • Hausser, F.1    Nill, F.2
  • 15
    • 0004304208 scopus 로고    scopus 로고
    • Integral theory for quasi-Hopf algebras
    • preprint, arXiv.math.QA/9904164
    • F. Hausser, F. Nill, Integral theory for quasi-Hopf algebras, preprint, arXiv.math.QA/9904164
    • Hausser, F.1    Nill, F.2
  • 16
    • 0037092681 scopus 로고    scopus 로고
    • Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras
    • Kashina Y. Mason G. Montgomery S. Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras J. Algebra 251 2 2002 888-913
    • (2002) J. Algebra , vol.251 , Issue.2 , pp. 888-913
    • Kashina, Y.1    Mason, G.2    Montgomery, S.3
  • 18
    • 0000486683 scopus 로고
    • Semisimple cosemisimple Hopf algebras
    • Larson R.G. Radford D.E. Semisimple cosemisimple Hopf algebras Amer. J. Math. 109 1 1987 187-195
    • (1987) Amer. J. Math. , vol.109 , Issue.1 , pp. 187-195
    • Larson, R.G.1    Radford, D.E.2
  • 19
    • 45449125795 scopus 로고
    • Finite-dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
    • Larson R.G. Radford D.E. Finite-dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple J. Algebra 117 2 1988 267-289
    • (1988) J. Algebra , vol.117 , Issue.2 , pp. 267-289
    • Larson, R.G.1    Radford, D.E.2
  • 20
  • 21
    • 23044527573 scopus 로고    scopus 로고
    • Group cohomology and gauge equivalence of some twisted quantum doubles
    • (electronic)
    • Mason G. Ng Siu-Hung Group cohomology and gauge equivalence of some twisted quantum doubles Trans. Amer. Math. Soc. 353 9 2001 3465-3509 (electronic)
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.9 , pp. 3465-3509
    • Mason, G.1    Ng, S.-H.2
  • 22
    • 5444247980 scopus 로고    scopus 로고
    • Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras
    • preprint, arXiv:math.QA/0303213
    • G. Mason, Siu-Hung Ng, Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras, preprint, arXiv:math.QA/0303213
    • Mason, G.1    Ng, S.-H.2
  • 23
    • 0013198070 scopus 로고
    • The quantum double of a finite group and its role in conformal field theory
    • Cambridge University Press, Cambridge
    • G. Mason, The quantum double of a finite group and its role in conformal field theory, in; Groups '93 Galway/St. Andrews, Vol. 2, Cambridge University Press, Cambridge, 1995, pp. 405-417
    • (1995) Groups '93 Galway/St. Andrews , vol.2 , pp. 405-417
    • Mason, G.1
  • 24
    • 0037400955 scopus 로고    scopus 로고
    • From subfactors to categories and topology. I, Frobenius algebras in and Morita equivalence of tensor categories
    • Müger M. From subfactors to categories and topology. I, Frobenius algebras in and Morita equivalence of tensor categories J. Pure Appl. Algebra 180 1-2 2003 81-157
    • (2003) J. Pure Appl. Algebra , vol.180 , Issue.1-2 , pp. 81-157
    • Müger, M.1
  • 25
    • 0034165111 scopus 로고    scopus 로고
    • Existence of integrals for finite dimensional quasi-Hopf algebras
    • Panaite F. Oystaeyen F.V. Existence of integrals for finite dimensional quasi-Hopf algebras Bull. Belg. Math. Soc. Simon Stevin 7 2 2000 261-264
    • (2000) Bull. Belg. Math. Soc. Simon Stevin , vol.7 , Issue.2 , pp. 261-264
    • Panaite, F.1    Oystaeyen, F.V.2
  • 26
    • 1642378574 scopus 로고    scopus 로고
    • A Maschke-type theorem for quasi-Hopf algebras
    • Dekker, New York Rings, Hopf algebras, and Brauer groups (Antwerp/Brussels, 1996)
    • F. Panaite, A Maschke-type theorem for quasi-Hopf algebras, in: Rings, Hopf algebras, and Brauer groups (Antwerp/Brussels, 1996), Lecture Notes in Pure and Applied Mathematics, Vol. 197, Dekker, New York, 1998, pp. 201-207
    • (1998) Lecture Notes in Pure and Applied Mathematics , vol.197 , pp. 201-207
    • Panaite, F.1
  • 27
    • 0001621239 scopus 로고
    • Linear Representations of Finite Groups
    • Springer, New York, (translated from the second French edition by Leonard L. Scott )
    • J.-P. Serre, Linear Representations of Finite Groups, Springer, New York, 1977 (translated from the second French edition by Leonard L. Scott, Graduate Texts in Mathematics, Vol. 42)
    • (1977) Graduate Texts in Mathematics , vol.42
    • Serre, J.-P.1
  • 28
    • 0001717933 scopus 로고    scopus 로고
    • Tensor categories with fusion rules of self-duality for finite abelian groups
    • Tambara D. Yamagami S. Tensor categories with fusion rules of self-duality for finite abelian groups J. Algebra 209 2 1998 692-707
    • (1998) J. Algebra , vol.209 , Issue.2 , pp. 692-707
    • Tambara, D.1    Yamagami, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.