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Volumn 312, Issue 2, 2007, Pages 849-875

On the gauge equivalence of twisted quantum doubles of elementary abelian and extra-special 2-groups

Author keywords

Braided tensor category; Frobenius Schur indicator and exponent; Group cohomology; Quasi Hopf algebra; Twisted quantum double

Indexed keywords


EID: 34248196499     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2006.10.022     Document Type: Article
Times cited : (32)

References (26)
  • 1
    • 21144484691 scopus 로고
    • Quasi-quantum groups, knots, three-manifolds, and topological field theory
    • Altschüler D., and 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
  • 2
    • 0000097429 scopus 로고
    • The cohomology of extra-special groups
    • Benson D., and Carlson J. The cohomology of extra-special groups. Bull. London Math. Soc. 108 24 (3) (1992)
    • (1992) Bull. London Math. Soc. , vol.108 , Issue.24 3
    • Benson, D.1    Carlson, J.2
  • 4
    • 0001235515 scopus 로고    scopus 로고
    • Vertex operator algebras and moonshine: A survey
    • Progress in Algebraic Combinatorics, Math. Soc. of Japan, Kinokuniya, Tokyo
    • Dong C., and Mason G. Vertex operator algebras and moonshine: A survey. Progress in Algebraic Combinatorics. Adv. Stud. Pure Math. vol. 24 (1996), Math. Soc. of Japan, Kinokuniya, Tokyo
    • (1996) Adv. Stud. Pure Math. , vol.24
    • Dong, C.1    Mason, G.2
  • 6
    • 0000805003 scopus 로고
    • Quasi-Hopf algebras
    • Drinfeld V. Quasi-Hopf algebras. Leningrad Math. J. 1 (1990) 1419-1457
    • (1990) Leningrad Math. J. , vol.1 , pp. 1419-1457
    • Drinfeld, V.1
  • 7
    • 0001255152 scopus 로고
    • Conformal field theory of twisted vertex operators
    • Dolan L., Goddard P., and Montague P. Conformal field theory of twisted vertex operators. Nuclear Phys. B 338 (1990) 529-601
    • (1990) Nuclear Phys. B , vol.338 , pp. 529-601
    • Dolan, L.1    Goddard, P.2    Montague, P.3
  • 9
    • 0036361135 scopus 로고    scopus 로고
    • On families of triangular Hopf algebras
    • Etingof P., and Gelaki S. On families of triangular Hopf algebras. Int. Math. Res. Not. 14 (2002) 757-768
    • (2002) Int. Math. Res. Not. , vol.14 , pp. 757-768
    • Etingof, P.1    Gelaki, S.2
  • 11
    • 38249036631 scopus 로고
    • On the integral cohomology of extra-special 2-groups
    • Harada M., and Kono A. On the integral cohomology of extra-special 2-groups. J. Pure Appl. Math. 44 (1987) 215-219
    • (1987) J. Pure Appl. Math. , vol.44 , pp. 215-219
    • Harada, M.1    Kono, A.2
  • 12
    • 0003704279 scopus 로고
    • Springer-Verlag, New York
    • Kassel C. Quantum Groups (1995), Springer-Verlag, New York
    • (1995) Quantum Groups
    • Kassel, C.1
  • 13
    • 0001663386 scopus 로고
    • Tannaka-Kreǐn theorem for quasi-Hopf algebras and other results
    • Amherst, MA, 1990, Amer. Math. Soc., Providence, RI
    • Majid S. Tannaka-Kreǐn theorem for quasi-Hopf algebras and other results. Deformation Theory and Quantum Groups with Applications to Mathematical Physics. Amherst, MA, 1990 (1992), Amer. Math. Soc., Providence, RI 219-232
    • (1992) Deformation Theory and Quantum Groups with Applications to Mathematical Physics , pp. 219-232
    • Majid, S.1
  • 14
    • 0002809687 scopus 로고    scopus 로고
    • Quantum double for quasi-Hopf algebras
    • Majid S. Quantum double for quasi-Hopf algebras. Lett. Math. Phys. 45 1 (1998) 1-9
    • (1998) Lett. Math. Phys. , vol.45 , Issue.1 , pp. 1-9
    • Majid, S.1
  • 15
    • 0013198070 scopus 로고
    • The quantum double of a finite group and its role in conformal field theory, vol. 2
    • Mason G. The quantum double of a finite group and its role in conformal field theory, vol. 2. London Math. Soc. Lecture Note Ser. vol. 212 (1995) 405-417
    • (1995) London Math. Soc. Lecture Note Ser. , vol.212 , pp. 405-417
    • Mason, G.1
  • 16
    • 34247223045 scopus 로고    scopus 로고
    • Reed-Muller codes, the fourth cohomology group of a finite group, and the β-invariant
    • Mason G. Reed-Muller codes, the fourth cohomology group of a finite group, and the β-invariant. J. Algebra 312 1 (2007) 218-227
    • (2007) J. Algebra , vol.312 , Issue.1 , pp. 218-227
    • Mason, G.1
  • 17
    • 23044527573 scopus 로고    scopus 로고
    • Group cohomology and gauge equivalence of some twisted quantum doubles
    • Mason G., and Ng S.-H. Group cohomology and gauge equivalence of some twisted quantum doubles. Trans. Amer. Math. Soc. 353 9 (2001) 3465-3509
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.9 , pp. 3465-3509
    • Mason, G.1    Ng, S.-H.2
  • 18
    • 6944234863 scopus 로고    scopus 로고
    • Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras
    • Mason G., and Ng S.-H. Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras. Adv. Math. 190 1 (2005) 161-195
    • (2005) Adv. Math. , vol.190 , Issue.1 , pp. 161-195
    • Mason, G.1    Ng, S.-H.2
  • 19
    • 0345448079 scopus 로고    scopus 로고
    • On group theoretical Hopf algebras and exact factorizations of finite groups
    • Natale S. On group theoretical Hopf algebras and exact factorizations of finite groups. J. Algebra 270 1 (2003) 199-211
    • (2003) J. Algebra , vol.270 , Issue.1 , pp. 199-211
    • Natale, S.1
  • 21
    • 34248231690 scopus 로고    scopus 로고
    • S.-H. Ng, P. Schauenburg, Higher Frobenius-Schur indicators for pivotal categories, arXiv: math.QA/0503167, in: Contemp. Math., in press
  • 22
    • 34248156174 scopus 로고    scopus 로고
    • S.-H. Ng, P. Schauenburg, Central invariants and higher indicators for semisimple quasi-Hopf algebras, arXiv: math.QA/0508140, Trans. Amer. Math. Soc., in press
  • 23
    • 33847106814 scopus 로고    scopus 로고
    • S.-H. Ng, P. Schauenburg, Frobenius-Schur indicators and exponents of spherical categories, arXiv: math.QA/0601012, Adv. Math. (2006), in press, doi: 10.1016/j.aim.2006.07.017
  • 24
    • 0012383625 scopus 로고    scopus 로고
    • The monoidal center construction and bimodules
    • Schauenburg P. The monoidal center construction and bimodules. J. Pure Appl. Algebra 158 2-3 (2001) 325-346
    • (2001) J. Pure Appl. Algebra , vol.158 , Issue.2-3 , pp. 325-346
    • Schauenburg, P.1
  • 25
    • 0037050693 scopus 로고    scopus 로고
    • Hopf bimodules, coquasibialgebras, and an exact sequence of Kac
    • Schauenburg P. Hopf bimodules, coquasibialgebras, and an exact sequence of Kac. Adv. Math. 165 2 (2002) 194-263
    • (2002) Adv. Math. , vol.165 , Issue.2 , pp. 194-263
    • Schauenburg, P.1
  • 26
    • 0001523518 scopus 로고
    • The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
    • Quillen D. The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Math. Ann. 194 (1971) 197-212
    • (1971) Math. Ann. , vol.194 , pp. 197-212
    • Quillen, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.