메뉴 건너뛰기




Volumn 509, Issue , 1999, Pages 167-198

Representations of compact quantum groups and subfactors

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033455794     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1999.037     Document Type: Article
Times cited : (65)

References (36)
  • 1
    • 0000641403 scopus 로고
    • Unitaires multiplicatifs et dualité pour les produits coisés de C*-algèbres
    • S. Baaj and G. Skandalis, Unitaires multiplicatifs et dualité pour les produits coisés de C*-algèbres, Ann. Sci. Ec. Norm. Sup. 26 (1993), 425-488.
    • (1993) Ann. Sci. Ec. Norm. Sup. , vol.26 , pp. 425-488
    • Baaj, S.1    Skandalis, G.2
  • 2
    • 0012900341 scopus 로고    scopus 로고
    • Théorie des représentations du groupe quantique compact libre O(n)
    • T. Banica, Théorie des représentations du groupe quantique compact libre O(n), C.R. Acad. Sci. Paris 322 (1996), 241-244.
    • (1996) C.R. Acad. Sci. Paris , vol.322 , pp. 241-244
    • Banica, T.1
  • 3
    • 0031329339 scopus 로고    scopus 로고
    • Le groupe quantique compact libre U(n)
    • T. Banica, Le groupe quantique compact libre U(n), Commun. Math. Phys. 190 (1997), 143-172.
    • (1997) Commun. Math. Phys. , vol.190 , pp. 143-172
    • Banica, T.1
  • 4
    • 0038701519 scopus 로고    scopus 로고
    • Bimodules, higher relative commutants and the fusion algebra associated to a subfactor
    • D. Bisch, Bimodules, higher relative commutants and the fusion algebra associated to a subfactor, Fields Inst. Commun. 13 (1997), 16-63.
    • (1997) Fields Inst. Commun. , vol.13 , pp. 16-63
    • Bisch, D.1
  • 5
    • 0000859258 scopus 로고    scopus 로고
    • Déformations de C*-algèbres de hopf
    • E. Blanchard, Déformations de C*-algèbres de Hopf, Bull. Soc. Math. Fr. 124 (1996), 141-215.
    • (1996) Bull. Soc. Math. Fr. , vol.124 , pp. 141-215
    • Blanchard, E.1
  • 6
    • 0000275115 scopus 로고
    • Catégories tannakiennes
    • Birkhäuser
    • P. Deligne, Catégories tannakiennes, Grothendieck Festschrift II, Birkhäuser (1990), 111-195.
    • (1990) Grothendieck Festschrift , vol.2 , pp. 111-195
    • Deligne, P.1
  • 7
    • 0000117786 scopus 로고
    • A new duality theory for compact groups
    • S. Doplicher and J. Roberts, A new duality theory for compact groups, Invent. Math. 98 (1989), 157-218.
    • (1989) Invent. Math. , vol.98 , pp. 157-218
    • Doplicher, S.1    Roberts, J.2
  • 8
    • 0030137710 scopus 로고    scopus 로고
    • Inclusions of factors, multiplicative unitaries and Kac algebras
    • M. Enoch and R. Nest, Inclusions of factors, multiplicative unitaries and Kac algebras, J. Fund. Anal. 137 (1996), 466-543.
    • (1996) J. Fund. Anal. , vol.137 , pp. 466-543
    • Enoch, M.1    Nest, R.2
  • 9
    • 0000113325 scopus 로고
    • Algebraic aspects of the quantum Yang-Baxter equation
    • D. I. Gurevich, Algebraic aspects of the quantum Yang-Baxter equation, Leningrad Math. J. 2 (1991), 801-828.
    • (1991) Leningrad Math. J. , vol.2 , pp. 801-828
    • Gurevich, D.I.1
  • 10
    • 0003371943 scopus 로고
    • Subfactors and knots
    • V. Jones, Subfactors and knots, CBMS Lect. Notes 80 (1991).
    • (1991) CBMS Lect. Notes , vol.80
    • Jones, V.1
  • 11
    • 0002475377 scopus 로고
    • Fusion en algèbres de von Neumann et groupes de lacets (d'après A. Wassermann)
    • V. Jones, Fusion en algèbres de von Neumann et groupes de lacets (d'après A. Wassermann), Sém. Bourbaki 800 (1995).
    • (1995) Sém. Bourbaki , vol.800
    • Jones, V.1
  • 14
    • 21144476595 scopus 로고
    • On the Haar measure of the quantum SU (N) group
    • G. Nagy, On the Haar measure of the quantum SU (N) group, Commun. Math. Phys. 153 (1993), 217-228.
    • (1993) Commun. Math. Phys. , vol.153 , pp. 217-228
    • Nagy, G.1
  • 15
    • 0001102352 scopus 로고    scopus 로고
    • R-diagonal pairs - A common approach to Haar unitaries and circular elements
    • A. Nica and R. Speicher, R-diagonal pairs - a common approach to Haar unitaries and circular elements, Fields Inst. Commun. 12 (1997), 149-188.
    • (1997) Fields Inst. Commun. , vol.12 , pp. 149-188
    • Nica, A.1    Speicher, R.2
  • 16
  • 17
    • 0000549795 scopus 로고
    • Sousfacteurs, actions des groupes et cohomologie
    • S. Popa, Sousfacteurs, actions des groupes et cohomologie, C. R. Acad. Sci. Paris 309 (1992), 771-776.
    • (1992) C. R. Acad. Sci. Paris , vol.309 , pp. 771-776
    • Popa, S.1
  • 18
    • 0000307054 scopus 로고
    • Markov traces on universal Jones algebras and subfactors of finite index
    • S. Popa, Markov traces on universal Jones algebras and subfactors of finite index, Invent Math. 111 (1993), 375-405.
    • (1993) Invent Math. , vol.111 , pp. 375-405
    • Popa, S.1
  • 19
    • 0000934215 scopus 로고
    • Classification of amenable subfactors of type II
    • S. Popa, Classification of amenable subfactors of type II, Acta Math. 172 (1994), 163-255.
    • (1994) Acta Math. , vol.172 , pp. 163-255
    • Popa, S.1
  • 20
    • 0000715340 scopus 로고
    • An axiomatization of the lattice of higher relative commutants of a subfactor
    • S. Popa, An axiomatization of the lattice of higher relative commutants of a subfactor, Invent. Math. 120 (1995), 427-445.
    • (1995) Invent. Math. , vol.120 , pp. 427-445
    • Popa, S.1
  • 21
    • 0000408094 scopus 로고
    • Actions of compact Lie groups on von Neumann algebras
    • S. Popa and A. Wassermann, Actions of compact Lie groups on von Neumann algebras, C. R. Acad. Sci. Paris 315 (1992), 421-426.
    • (1992) C. R. Acad. Sci. Paris , vol.315 , pp. 421-426
    • Popa, S.1    Wassermann, A.2
  • 22
    • 34250094247 scopus 로고
    • Finite dimensional representations of the quantum analog of the enveloping algebra of a semi-simple Lie algebra
    • M. Rosso, Finite dimensional representations of the quantum analog of the enveloping algebra of a semi-simple Lie algebra, Commun. Math. Phys. 117 (1988), 581-593.
    • (1988) Commun. Math. Phys. , vol.117 , pp. 581-593
    • Rosso, M.1
  • 23
    • 84973997823 scopus 로고
    • Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul differentiel non-commutatif
    • M. Rosso, Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul differentiel non-commutatif, Duke Math. J. 61 (1990), 11-40.
    • (1990) Duke Math. J. , vol.61 , pp. 11-40
    • Rosso, M.1
  • 24
    • 0011738042 scopus 로고    scopus 로고
    • PhD thesis, Univ. of Cambridge
    • 2n, PhD thesis, Univ. of Cambridge, 1997.
    • (1997) 2n
    • Laredo, V.T.1
  • 25
    • 0030535546 scopus 로고    scopus 로고
    • Universal quantum groups
    • A. Van Daele and S. Wang, Universal quantum groups, Intern. J. Math. 7, No. 2 (1996), 255-264.
    • (1996) Intern. J. Math. , vol.7 , Issue.2 , pp. 255-264
    • Van Daele, A.1    Wang, S.2
  • 27
    • 21844492077 scopus 로고
    • Free products of compact quantum groups
    • S. Wang, Free products of compact quantum groups, Commun. Math. Phys. 167 (1995), 671-692.
    • (1995) Commun. Math. Phys. , vol.167 , pp. 671-692
    • Wang, S.1
  • 28
    • 0000488814 scopus 로고
    • Coactions and Yang-Baxter equations for ergodic actions on subfactors
    • A. Wassermann, Coactions and Yang-Baxter equations for ergodic actions on subfactors, LMS Lect. Notes 36 (1988), 203-236.
    • (1988) LMS Lect. Notes , vol.36 , pp. 203-236
    • Wassermann, A.1
  • 29
    • 0032344404 scopus 로고    scopus 로고
    • Operator algebras and conformal field theory III. Fusion of positive energy representations of LSU(N) using bounded operators
    • A. Wassermann, Operator algebras and conformal field theory III. Fusion of positive energy representations of LSU(N) using bounded operators, Invent. math. 133 (1998), 467-538.
    • (1998) Invent. Math. , vol.133 , pp. 467-538
    • Wassermann, A.1
  • 30
    • 34250096712 scopus 로고
    • n and subfactors
    • n and subfactors, Invent. Math. 92 (1988), 349-383.
    • (1988) Invent. Math. , vol.92 , pp. 349-383
    • Wenzl, H.1
  • 31
    • 7244225268 scopus 로고
    • Quantum groups and subfactors of type B, C, and D
    • H. Wenzl, Quantum groups and subfactors of type B, C, and D, Commun. Math. Phys. 133 (1990), 383-432.
    • (1990) Commun. Math. Phys. , vol.133 , pp. 383-432
    • Wenzl, H.1
  • 32
    • 0032396086 scopus 로고    scopus 로고
    • C* tensor categories from quantum groups
    • W. Wenzl, C* tensor categories from quantum groups, J. Am. Math. Soc. 11 (1998), 261-282.
    • (1998) J. Am. Math. Soc. , vol.11 , pp. 261-282
    • Wenzl, W.1
  • 33
    • 1542483491 scopus 로고
    • Compact matrixc pseudogroups
    • S. L. Woronowicz, Compact matrixc pseudogroups, Commun. Math. Phys. 111 (1987), 613-665.
    • (1987) Commun. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 34
    • 0002119476 scopus 로고
    • Tannaka-Krein duality for compact matrix pseudogroups, Twisted SU(n) groups
    • S. L. Woronowicz, 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
  • 35
    • 0040671456 scopus 로고    scopus 로고
    • Compact quantum groups, preprint
    • S. L. Woronowicz, Compact quantum groups, preprint.
    • Woronowicz, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.