메뉴 건너뛰기




Volumn 219, Issue 5, 2008, Pages 1548-1576

Morita classes of algebras in modular tensor categories

Author keywords

Frobenius algebras; Modular tensor categories; Morita equivalence

Indexed keywords


EID: 52049124021     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2008.07.004     Document Type: Article
Times cited : (53)

References (35)
  • 2
    • 0037952322 scopus 로고    scopus 로고
    • Cosovereign Hopf algebras
    • math.QA/9902030
    • Bichon J. Cosovereign Hopf algebras. J. Pure Appl. Algebra 157 (2001) 121-133. math.QA/9902030
    • (2001) J. Pure Appl. Algebra , vol.157 , pp. 121-133
    • Bichon, J.1
  • 4
    • 30444448023 scopus 로고    scopus 로고
    • On fusion categories
    • math.QA/0203060
    • Etingof P.I., Nikshych D., and Ostrik V. On fusion categories. Ann. of Math. 162 (2005) 581-642. math.QA/0203060
    • (2005) Ann. of Math. , vol.162 , pp. 581-642
    • Etingof, P.I.1    Nikshych, D.2    Ostrik, V.3
  • 5
    • 33750720971 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators. V: Proof of modular invariance and factorisation
    • hep-th/0503194
    • Fjelstad J., Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. V: Proof of modular invariance and factorisation. Theory Appl. Categ. 16 (2006) 342-433. hep-th/0503194
    • (2006) Theory Appl. Categ. , vol.16 , pp. 342-433
    • Fjelstad, J.1    Fuchs, J.2    Runkel, I.3    Schweigert, C.4
  • 6
    • 52049109321 scopus 로고    scopus 로고
    • Topological and conformal field theory as Frobenius algebras
    • math.CT/0512076
    • Fjelstad J., Fuchs J., Runkel I., and Schweigert C. Topological and conformal field theory as Frobenius algebras. Contemp. Math. vol. 431 (2007) 225-247. math.CT/0512076
    • (2007) Contemp. Math. , vol.431 , pp. 225-247
    • Fjelstad, J.1    Fuchs, J.2    Runkel, I.3    Schweigert, C.4
  • 8
    • 30944455889 scopus 로고    scopus 로고
    • Correspondences of ribbon categories
    • math.CT/0309465
    • Fröhlich J., Fuchs J., Runkel I., and Schweigert C. Correspondences of ribbon categories. Adv. Math. 199 (2006) 192-329. math.CT/0309465
    • (2006) Adv. Math. , vol.199 , pp. 192-329
    • Fröhlich, J.1    Fuchs, J.2    Runkel, I.3    Schweigert, C.4
  • 9
    • 33846157416 scopus 로고    scopus 로고
    • Duality and defects in rational conformal field theory
    • hep-th/0607247
    • Fröhlich J., Fuchs J., Runkel I., and Schweigert C. Duality and defects in rational conformal field theory. Nuclear Phys. B 763 (2007) 354-430. hep-th/0607247
    • (2007) Nuclear Phys. B , vol.763 , pp. 354-430
    • Fröhlich, J.1    Fuchs, J.2    Runkel, I.3    Schweigert, C.4
  • 10
    • 0037049228 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators. I: Partition functions
    • hep-th/0204148
    • Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. I: Partition functions. Nuclear Phys. B 646 (2002) 353-497. hep-th/0204148
    • (2002) Nuclear Phys. B , vol.646 , pp. 353-497
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 11
    • 0347603901 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators. II: Unoriented world sheets
    • hep-th/0306164
    • Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. II: Unoriented world sheets. Nuclear Phys. B 678 (2004) 511-637. hep-th/0306164
    • (2004) Nuclear Phys. B , vol.678 , pp. 511-637
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 12
    • 40249098523 scopus 로고    scopus 로고
    • The fusion algebra of bimodule categories
    • math.CT/0701223
    • Fuchs J., Runkel I., and Schweigert C. The fusion algebra of bimodule categories. Appl. Categ. Structures 16 (2008) 123-140. math.CT/0701223
    • (2008) Appl. Categ. Structures , vol.16 , pp. 123-140
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 13
    • 0346643679 scopus 로고    scopus 로고
    • Category theory for conformal boundary conditions
    • math.CT/0106050
    • Fuchs J., and Schweigert C. Category theory for conformal boundary conditions. Fields Inst. Commun. vol. 39 (2003) 25-70. math.CT/0106050
    • (2003) Fields Inst. Commun. , vol.39 , pp. 25-70
    • Fuchs, J.1    Schweigert, C.2
  • 14
    • 44349111945 scopus 로고    scopus 로고
    • Vertex operator algebras and the Verlinde conjecture
    • math.QA/0406291
    • Huang Y.-Z. Vertex operator algebras and the Verlinde conjecture. Commun. Contemp. Math. 10 (2008) 103-154. math.QA/0406291
    • (2008) Commun. Contemp. Math. , vol.10 , pp. 103-154
    • Huang, Y.-Z.1
  • 16
    • 7444225253 scopus 로고    scopus 로고
    • Open-string vertex algebras, tensor categories and operads
    • math.QA/0308248
    • Huang Y.-Z., and Kong L. Open-string vertex algebras, tensor categories and operads. Comm. Math. Phys. 250 (2004) 433-471. math.QA/0308248
    • (2004) Comm. Math. Phys. , vol.250 , pp. 433-471
    • Huang, Y.-Z.1    Kong, L.2
  • 17
    • 34247157878 scopus 로고    scopus 로고
    • Full field algebras
    • math.QA/0511328
    • Huang Y.-Z., and Kong L. Full field algebras. Comm. Math. Phys. 272 (2007) 345-396. math.QA/0511328
    • (2007) Comm. Math. Phys. , vol.272 , pp. 345-396
    • Huang, Y.-Z.1    Kong, L.2
  • 18
    • 43949173985 scopus 로고
    • Braided tensor categories
    • Joyal A., and Street R. Braided tensor categories. Adv. Math. 102 (1993) 20-78
    • (1993) Adv. Math. , vol.102 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 19
    • 34247529130 scopus 로고    scopus 로고
    • Full field algebras, operads and tensor categories
    • math.QA/0603065
    • Kong L. Full field algebras, operads and tensor categories. Adv. Math. 213 1 (2007) 271-340. math.QA/0603065
    • (2007) Adv. Math. , vol.213 , Issue.1 , pp. 271-340
    • Kong, L.1
  • 20
    • 43549092600 scopus 로고    scopus 로고
    • Open-closed field algebras
    • math.QA/0610293
    • Kong L. Open-closed field algebras. Comm. Math. Phys. 280 (2008) 207-261. math.QA/0610293
    • (2008) Comm. Math. Phys. , vol.280 , pp. 207-261
    • Kong, L.1
  • 23
    • 0035373595 scopus 로고    scopus 로고
    • Multi-interval subfactors and modularity of representations in conformal field theory
    • math.OA/9903104
    • Kawahigashi Y., Longo R., and Müger M. Multi-interval subfactors and modularity of representations in conformal field theory. Comm. Math. Phys. 219 (2001) 631-669. math.OA/9903104
    • (2001) Comm. Math. Phys. , vol.219 , pp. 631-669
    • Kawahigashi, Y.1    Longo, R.2    Müger, M.3
  • 24
    • 0037058440 scopus 로고    scopus 로고
    • On q-analog of McKay correspondence and ADE classification of over(s l, ̂) (2) conformal field theories
    • math.QA/0101219
    • Kirillov A.J., and Ostrik V. On q-analog of McKay correspondence and ADE classification of over(s l, ̂) (2) conformal field theories. Adv. Math. 171 (2002) 183-227. math.QA/0101219
    • (2002) Adv. Math. , vol.171 , pp. 183-227
    • Kirillov, A.J.1    Ostrik, V.2
  • 25
    • 52049108376 scopus 로고    scopus 로고
    • L. Kong, I. Runkel, Cardy algebras and sewing constrains, I, arXiv:0807.3356 [math.OA]
    • L. Kong, I. Runkel, Cardy algebras and sewing constrains, I, arXiv:0807.3356 [math.OA]
  • 26
    • 39549109499 scopus 로고    scopus 로고
    • Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras
    • math.AT/0510664
    • Lauda A.D., and Pfeiffer H. Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras. Topology Appl. 155 (2008) 623-666. math.AT/0510664
    • (2008) Topology Appl. , vol.155 , pp. 623-666
    • Lauda, A.D.1    Pfeiffer, H.2
  • 27
    • 8644289164 scopus 로고    scopus 로고
    • Local fields in boundary conformal QFT
    • math-ph/0405067
    • Longo R., and Rehren K.H. Local fields in boundary conformal QFT. Rev. Math. Phys. 16 (2004) 909-960. math-ph/0405067
    • (2004) Rev. Math. Phys. , vol.16 , pp. 909-960
    • Longo, R.1    Rehren, K.H.2
  • 28
    • 0035916597 scopus 로고    scopus 로고
    • Some comments on branes, G-flux, and K-theory
    • hep-th/0012007
    • Moore G.W. Some comments on branes, G-flux, and K-theory. Internat. J. Modern Phys. A 16 (2001) 936-944. hep-th/0012007
    • (2001) Internat. J. Modern Phys. A , vol.16 , pp. 936-944
    • Moore, G.W.1
  • 30
    • 0037400855 scopus 로고    scopus 로고
    • From subfactors to categories and topology II. The quantum double of tensor categories and subfactors
    • math.CT/0111205
    • Müger M. From subfactors to categories and topology II. The quantum double of tensor categories and subfactors. J. Pure Appl. Algebra 180 (2003) 159-219. math.CT/0111205
    • (2003) J. Pure Appl. Algebra , vol.180 , pp. 159-219
    • Müger, M.1
  • 31
    • 52049126081 scopus 로고    scopus 로고
    • M. Müger, Talk at workshop 'Quantum Structures', Leipzig, 28 June 2007, in preparation
    • M. Müger, Talk at workshop 'Quantum Structures', Leipzig, 28 June 2007, in preparation
  • 32
    • 0038309312 scopus 로고    scopus 로고
    • Module categories, weak Hopf algebras and modular invariants
    • math.QA/0111139
    • Ostrik V. Module categories, weak Hopf algebras and modular invariants. Transform. Groups 8 (2003) 177-206. math.QA/0111139
    • (2003) Transform. Groups , vol.8 , pp. 177-206
    • Ostrik, V.1
  • 35
    • 0002116156 scopus 로고    scopus 로고
    • The Brauer group of a braided monoidal category
    • Van Oystaeyen F., and Zhang Y.H. The Brauer group of a braided monoidal category. J. Algebra 202 (1998) 96-128
    • (1998) J. Algebra , vol.202 , pp. 96-128
    • Van Oystaeyen, F.1    Zhang, Y.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.