메뉴 건너뛰기




Volumn 177, Issue 1, 2003, Pages 66-104

On tensor categories of Lie type EN, N ≠ 9

Author keywords

[No Author keywords available]

Indexed keywords


EID: 12144274669     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0001-8708(02)00048-8     Document Type: Article
Times cited : (21)

References (29)
  • 1
    • 84966261960 scopus 로고
    • Braids, link polynomials and a new algebra
    • J. Birman, H. Wenzl, Braids, link polynomials and a new algebra, Trans. AMS 313 (1989) 249-273.
    • (1989) Trans. AMS , vol.313 , pp. 249-273
    • Birman, J.1    Wenzl, H.2
  • 2
    • 0000365215 scopus 로고
    • On algebras which are connected with the semisimple continuous groups
    • R. Brauer, On algebras which are connected with the semisimple continuous groups, Ann. of Math. 63 (1937) 854 872.
    • (1937) Ann. of Math. , vol.63 , pp. 854-872
    • Brauer, R.1
  • 3
    • 0001186695 scopus 로고    scopus 로고
    • Computational evidence for Deligne's conjecture regarding exceptional Lie groups
    • A. Cohen, R. de Man, Computational evidence for Deligne's conjecture regarding exceptional Lie groups, C. R. Acad. Sci. Paris Sér. I Math. 322 (5) (1996) 427-432.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.322 , Issue.5 , pp. 427-432
    • Cohen, A.1    de Man, R.2
  • 4
    • 0007087277 scopus 로고
    • Factor groups of the braid group
    • Proceedings of the Fourth Canadian Mathematics Congress, Banff 1957, University of Toronto Press
    • H.S.M. Coxeter, Factor groups of the braid group, Proceedings of the Fourth Canadian Mathematics Congress, Banff 1957, University of Toronto Press, 1959, pp. 95-122.
    • (1959) , pp. 95-122
    • Coxeter, H.S.M.1
  • 5
    • 0001385854 scopus 로고    scopus 로고
    • La série exceptionnelle de groupes de Lie. II
    • P. Deligne, La série exceptionnelle de groupes de Lie. II, C. R. Acad. Sci. Paris Sér. I Math. 322 (4) (1996) 321-326.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.322 , Issue.4 , pp. 321-326
    • Deligne, P.1
  • 6
    • 0007040055 scopus 로고    scopus 로고
    • La série exceptionnelle de groupes de Lie. II
    • P. Deligne, R. de Man, La série exceptionnelle de groupes de Lie. II, C. R. Acad. Sci. Paris Sér. I Math. 323 (6) (1996) 577-582.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.323 , Issue.6 , pp. 577-582
    • Deligne, P.1    de Man, R.2
  • 7
    • 0000805003 scopus 로고
    • On almost cocommutative Hopf algebras
    • V. Drinfeld, On almost cocommutative Hopf algebras, Leningrad Math. J. 1 (1990) 321-343.
    • (1990) Leningrad Math. J. , vol.1 , pp. 321-343
    • Drinfeld, V.1
  • 8
    • 0004211528 scopus 로고
    • Representations of Hecke algebras of finite groups with BN pairs of classical type
    • Thesis, University of British Columbia
    • P.N. Hoefsmit, Representations of Hecke algebras of finite groups with BN pairs of classical type, Thesis, University of British Columbia, 1974.
    • (1974)
    • Hoefsmit, P.N.1
  • 9
    • 0001370587 scopus 로고
    • Solvable lattice models related to the vector representations of classical simple Lie algebras
    • M. Jimbo, T. Miwa, M. Okado, Solvable lattice models related to the vector representations of classical simple Lie algebras, Comm. Math. Phys. 116 (1988) 507-525.
    • (1988) Comm. Math. Phys. , vol.116 , pp. 507-525
    • Jimbo, M.1    Miwa, T.2    Okado, M.3
  • 11
    • 0003704279 scopus 로고
    • Quantum Groups
    • Springer, Berlin
    • Ch. Kassel, Quantum Groups, Springer, Berlin, 1995.
    • (1995)
    • Kassel, Ch.1
  • 12
    • 0001404104 scopus 로고
    • Reconstructing monoidal categories
    • D. Kazhdan, H. Wenzl, Reconstructing monoidal categories, Adv. in Soviet Math. 16 (1993) 111-136.
    • (1993) Adv. in Soviet Math. , vol.16 , pp. 111-136
    • Kazhdan, D.1    Wenzl, H.2
  • 13
    • 0041112898 scopus 로고    scopus 로고
    • On an inner product in modular categories
    • A. Kirillov Jr., On an inner product in modular categories, J. AMS 9 (1996) 1135-1170.
    • (1996) J. AMS , vol.9 , pp. 1135-1170
    • Kirillov A., Jr.1
  • 15
    • 0031568137 scopus 로고    scopus 로고
    • A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and Type A Iwahori-Hecke algebras
    • R. Leduc, A. Ram, A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: the Brauer, Birman-Wenzl, and Type A Iwahori-Hecke algebras, Adv. in Math. 125 (1997) 1-94.
    • (1997) Adv. in Math. , vol.125 , pp. 1-94
    • Leduc, R.1    Ram, A.2
  • 16
    • 21844525391 scopus 로고
    • Paths and root operators in representation theory
    • 2
    • P. Littelmann, Paths and root operators in representation theory, Ann. of Math. (2) 142 (3) (1995) 499-525.
    • (1995) Ann. of Math. , vol.142 , Issue.3 , pp. 499-525
    • Littelmann, P.1
  • 17
    • 0004129138 scopus 로고
    • Introduction to Quantum Groups
    • Birkhäuser, Basel
    • G. Lusztig, Introduction to Quantum Groups, Birkhäuser, Basel, 1993.
    • (1993)
    • Lusztig, G.1
  • 18
    • 84972577256 scopus 로고
    • The Kauffman polynomial of links and representation theory
    • J. Murakami, The Kauffman polynomial of links and representation theory, Osaka J. Math. 24 (1987) 745-758.
    • (1987) Osaka J. Math. , vol.24 , pp. 745-758
    • Murakami, J.1
  • 19
    • 21644461804 scopus 로고
    • A basis for the Birman-Wenzl algebra
    • Preliminary preprint, University of Liverpool
    • H. Morton, A. Wassermann, A basis for the Birman-Wenzl algebra, Preliminary preprint, University of Liverpool, 1989/2000.
    • (1989)
    • Morton, H.1    Wassermann, A.2
  • 20
    • 85031145309 scopus 로고    scopus 로고
    • q-Centralizer algebras for spin groups
    • preprint
    • R. Orellana, H. Wenzl, q-Centralizer algebras for spin groups, preprint.
    • Orellana, R.1    Wenzl, H.2
  • 21
    • 0003513017 scopus 로고
    • Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links
    • LOMI preprint
    • N. Reshetikhin, Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, LOMI preprint, 1988.
    • (1988)
    • Reshetikhin, N.1
  • 23
    • 3242727987 scopus 로고    scopus 로고
    • Computational aspects of root systems, Coxeter groups and Weyl characters
    • posted at www.math.lsa.umich.edu/jrs/papers/carswc.ps.gz
    • J. Stembridge, Computational aspects of root systems, Coxeter groups and Weyl characters, posted at www.math.lsa.umich.edu/jrs/papers/carswc.ps.gz.
    • Stembridge, J.1
  • 25
    • 0040600533 scopus 로고    scopus 로고
    • Semisimple and modular categories from link invariants
    • V. Turaev, H. Wenzl, Semisimple and modular categories from link invariants, Math. Ann. 309 (1997) 411-461.
    • (1997) Math. Ann. , vol.309 , pp. 411-461
    • Turaev, V.1    Wenzl, H.2
  • 26
    • 0003724609 scopus 로고    scopus 로고
    • Algebraic structures on modules of diagrams
    • preprint
    • P. Vogel, Algebraic structures on modules of diagrams, preprint.
    • Vogel, P.1
  • 27
    • 34250096712 scopus 로고
    • n and subfactors
    • n and subfactors, Inv. math. 92 (1988) 349-383.
    • (1988) Inv. Math. , vol.92 , pp. 349-383
    • Wenzl, H.1
  • 28
    • 0032396086 scopus 로고    scopus 로고
    • C* tensor categories from quantum groups
    • H. Wenzl, C* tensor categories from quantum groups, J. AMS 11 (1998) 261-282.
    • (1998) J. AMS , vol.11 , pp. 261-282
    • Wenzl, H.1
  • 29
    • 85031158536 scopus 로고    scopus 로고
    • Tensor categories and braid representations
    • Proceedings of the Durham LMS Symposium 1999 (posted at math.ucsd.edu/ wenzl), to appear
    • H. Wenzl, Tensor categories and braid representations, Proceedings of the Durham LMS Symposium 1999 (posted at math.ucsd.edu/ wenzl), to appear.
    • Wenzl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.