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Volumn 59, Issue 2, 1999, Pages 669-680

Classification of quantum groups SUq(n)

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EID: 0012900941     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610799007280     Document Type: Article
Times cited : (6)

References (39)
  • 1
    • 0000641403 scopus 로고
    • Unitaires multiplicatifs et dualité pour les produits croisés de C*-algèbres
    • S. BAAJ and G SKANDALE, 'Unitaires multiplicatifs et dualité pour les produits croisés de C*-algèbres', Am. Sci. École Norm. Sup. (4) 26 (1993) 425-488.
    • (1993) Am. Sci. École Norm. Sup. (4) , vol.26 , pp. 425-488
    • Baaj, S.1    Skandale, G.2
  • 3
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
    • A. CONNES, 'Une classification des facteurs de type III', Ann. Sci. École Norm. Sup. 6 (1973) 133-252.
    • (1973) Ann. Sci. École Norm. Sup. , vol.6 , pp. 133-252
    • Connes, A.1
  • 4
    • 0002179940 scopus 로고
    • Classification of injective factors
    • A. CONNES, 'Classification of injective factors', Ann. Math. 104 (1976) 73-115.
    • (1976) Ann. Math. , vol.104 , pp. 73-115
    • Connes, A.1
  • 6
    • 0000481618 scopus 로고
    • Quantum groups
    • American Mathematical Society, Providence, RI
    • V. G. DRINFELD, 'Quantum groups', Proceedings of ICM-1986 - Vol. I (American Mathematical Society, Providence, RI, 1987) 798-820.
    • (1987) Proceedings of ICM-1986 , vol.1 , pp. 798-820
    • Drinfeld, V.G.1
  • 7
    • 0000805003 scopus 로고
    • On almost cocommutative Hopf algebras
    • V. G. DRINFELD, 'On almost cocommutative Hopf algebras', Leningrad Math. J. 1 (1990) 321-342.
    • (1990) Leningrad Math. J. , vol.1 , pp. 321-342
    • Drinfeld, V.G.1
  • 10
    • 34250459850 scopus 로고
    • Certain arithmetic properties of ring groups
    • G. KAC, 'Certain arithmetic properties of ring groups', Funct. Anal. Appl. 6 (1972) 158-160.
    • (1972) Funct. Anal. Appl. , vol.6 , pp. 158-160
    • Kac, G.1
  • 13
    • 0007159514 scopus 로고
    • Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials
    • T. H. KOORNWINDER, 'Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials', Proc. Konink. Nederl. Akad. Wetensch. Ser. A 92 (1989) 97-117.
    • (1989) Proc. Konink. Nederl. Akad. Wetensch. Ser. A , vol.92 , pp. 97-117
    • Koornwinder, T.H.1
  • 14
    • 0000822926 scopus 로고
    • Twisted algebra of functions on compact quantum group and their representations
    • S. LEVENDORSKII, 'Twisted algebra of functions on compact quantum group and their representations', St. Petersburg Math. J. 3 (1992) 405-423.
    • (1992) St. Petersburg Math. J. , vol.3 , pp. 405-423
    • Levendorskii, S.1
  • 15
    • 0001314858 scopus 로고
    • Algebra of functions on compact quantum groups, Schubert cells, and quantum tori
    • S. LEVENDORSKII and Y. SOIBELMAN, 'Algebra of functions on compact quantum groups, Schubert cells, and quantum tori', Comm. Math. Phys. 139 (1991) 141-170.
    • (1991) Comm. Math. Phys. , vol.139 , pp. 141-170
    • Levendorskii, S.1    Soibelman, Y.2
  • 16
    • 45449122603 scopus 로고
    • Quantum deformations of certain simple modules over enveloping algebras
    • G. LUSZTIG, 'Quantum deformations of certain simple modules over enveloping algebras', Adv. in Math. 70 (1988) 237-249.
    • (1988) Adv. in Math. , vol.70 , pp. 237-249
    • Lusztig, G.1
  • 17
    • 0001353987 scopus 로고
    • A von Neumann algebra framework for the duality of the quantum groups
    • T. MASUDA and Y. NAKAGAMI, 'A von Neumann algebra framework for the duality of the quantum groups', Publ. Res. Inst. Math. Sci. 30 (1994) 799-850.
    • (1994) Publ. Res. Inst. Math. Sci. , vol.30 , pp. 799-850
    • Masuda, T.1    Nakagami, Y.2
  • 20
    • 34249759487 scopus 로고
    • Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups
    • P. PODLES, 'Symmetries of quantum spaces. Subgroups and quotient spaces of quantum SU(2) and SO(3) groups', Comm. Math. Phys. 170 (1995) 1-20.
    • (1995) Comm. Math. Phys. , vol.170 , pp. 1-20
    • Podles, P.1
  • 21
    • 0001660202 scopus 로고
    • Compact quantum groups associated with toral subgroups
    • M. RIEFFEL, 'Compact quantum groups associated with toral subgroups', Contemp. Math. 145 (1993) 465-491.
    • (1993) Contemp. Math. , vol.145 , pp. 465-491
    • Rieffel, M.1
  • 22
    • 34250094247 scopus 로고
    • Finite dimensional representations of the quantum analog of the enveloping algebra of a complex semisimple Lie algebra
    • M. ROSSO, 'Finite dimensional representations of the quantum analog of the enveloping algebra of a complex semisimple Lie algebra', Comm. Math. Phys. 117 (1988) 581-593.
    • (1988) Comm. 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
    • 0011398424 scopus 로고
    • Operator algebras and duality
    • Springer
    • G. SKANDALIS, 'Operator algebras and duality', Proceedings ICM-1990 - Vol. II (Springer, 1991) 997-1009.
    • (1991) Proceedings ICM-1990 , vol.2 , pp. 997-1009
    • Skandalis, G.1
  • 25
    • 0007075018 scopus 로고
    • Algebra of functions on compact quantum group and its representations
    • Y. SOIBELMAN, 'Algebra of functions on compact quantum group and its representations', Algebra i Analiz 2 (1990) 190-212.
    • (1990) Algebra i Analiz , vol.2 , pp. 190-212
    • Soibelman, Y.1
  • 26
    • 0002331261 scopus 로고
    • Algebra of functions on quantum group SU(2)
    • L. VAKSMAN and Y. SOIBELMAN, 'Algebra of functions on quantum group SU(2)', Funct. Anal. i Pril. 223 (1988) 1-14.
    • (1988) Funct. Anal. i Pril. , vol.223 , pp. 1-14
    • Vaksman, L.1    Soibelman, Y.2
  • 27
    • 0001095988 scopus 로고
    • Algebra of functions on quantum SU(n+1) and odd dimensional quantum spheres
    • L. VAKSMAN and Y. SOIBELMAN, 'Algebra of functions on quantum SU(n+1) and odd dimensional quantum spheres', Algebra i Analiz 2 (1990) 101-120.
    • (1990) Algebra i Analiz , vol.2 , pp. 101-120
    • Vaksman, L.1    Soibelman, Y.2
  • 28
    • 0000313285 scopus 로고
    • Dual pairs of Hopf *-algebras
    • A. VAN DAELE, 'Dual pairs of Hopf *-algebras', Proc. London Math. Soc. 25 (1993) 209-230.
    • (1993) Proc. London Math. Soc. , vol.25 , pp. 209-230
    • Van Daele, A.1
  • 30
    • 0003319133 scopus 로고
    • Lie groups, Lie algebras, and their representations
    • Springer
    • V. S. VARADARAJAN, Lie groups, Lie algebras, and their representations. Graduate Texts in Mathematics 102 (Springer, 1984).
    • (1984) Graduate Texts in Mathematics , vol.102
    • Varadarajan, V.S.1
  • 32
    • 21844492077 scopus 로고
    • Free products of compact quantum groups
    • S. Z. WANG, 'Free products of compact quantum groups', Comm. Math. Phys. 167 (1995) 671-692.
    • (1995) Comm. Math. Phys. , vol.167 , pp. 671-692
    • Wang, S.Z.1
  • 33
    • 0031282766 scopus 로고    scopus 로고
    • Krein duality for compact quantum groups
    • S. Z. WANG, 'Krein duality for compact quantum groups', J. Math. Phys. 38 (1997) 524-534.
    • (1997) J. Math. Phys. , vol.38 , pp. 524-534
    • Wang, S.Z.1
  • 34
    • 0030550692 scopus 로고    scopus 로고
    • Deformations of compact quantum groups via Rieflel's quantization
    • S. Z. WANG, 'Deformations of compact quantum groups via Rieflel's quantization', Comm. Math. Phys. 178 (1996) 747-764.
    • (1996) Comm. Math. Phys. , vol.178 , pp. 747-764
    • Wang, S.Z.1
  • 35
    • 85007947259 scopus 로고
    • Twisted SU(2) group. An example of noncommutative differential calculus
    • S. L. WORONOWICZ, 'Twisted SU(2) group. An example of noncommutative differential calculus', Publ. Res. Inst. Math. Sci. 23 (1987) 117-181.
    • (1987) Publ. Res. Inst. Math. Sci. , vol.23 , pp. 117-181
    • Woronowicz, S.L.1
  • 36
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • S. L. WORONOWICZ, 'Compact matrix pseudogroups', Comm. Math. Phys. 111 (1987) 613-665.
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 37
    • 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
  • 38
    • 0002967144 scopus 로고
    • A remark on compact matrix quantum groups
    • S. L. WORONOWICZ, 'A remark on compact matrix quantum groups', Lett. Math. Phys. 21 (1991) 35-39.
    • (1991) Lett. Math. Phys. , vol.21 , pp. 35-39
    • Woronowicz, S.L.1
  • 39
    • 0002551595 scopus 로고    scopus 로고
    • Compact quantum groups
    • Les Houches Session LXIV eds. A. Connes, K. Gewedzki and J. Zinn-Justin
    • S. L. WORONOWICZ, 'Compact quantum groups', Quantum symmetries, Les Houches Session LXIV (eds. A. Connes, K. Gewedzki and J. Zinn-Justin; 1998) 845-884.
    • (1998) Quantum Symmetries , pp. 845-884
    • Woronowicz, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.