메뉴 건너뛰기




Volumn 14, Issue , 2008, Pages 261-284

Vertex tensor category structure on a category of Kazhdan-Lusztig

Author keywords

Braided tensor category; Generalized module; Logarithmic tensor product theory; Vertex operator algebra; Vertex tensor category

Indexed keywords


EID: 46349095411     PISSN: None     EISSN: 10769803     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • Zbl 0789.17022, MR1142494 94a:17007
    • FRENKEL, IGOR B.; HUANG, YI-ZHI; LEPOWSKY, JAMES. On axiomatic approaches to vertex operator algebras and modules. Memoirs Amer. Math. Soc. 104 (1993), no. 494. MR1142494 (94a:17007), Zbl 0789.17022.
    • (1993) Memoirs Amer. Math. Soc , vol.104 , Issue.494
    • FRENKEL, I.B.1    HUANG, Y.-Z.2    LEPOWSKY, J.3
  • 2
    • 46349106749 scopus 로고    scopus 로고
    • FRENKEL, IGOR; LEPOWSKY, JAMES; MEURMAN, ARNE. Vertex operator algebras and the monster. Pure and Appl. Math., 134. Academic Press, Boston, 1988. ISBN: 0-12-267065-5 MR0996026 (90h:17026), Zbl 0674.17001.
    • FRENKEL, IGOR; LEPOWSKY, JAMES; MEURMAN, ARNE. Vertex operator algebras and the monster. Pure and Appl. Math., 134. Academic Press, Boston, 1988. ISBN: 0-12-267065-5 MR0996026 (90h:17026), Zbl 0674.17001.
  • 3
    • 84973998987 scopus 로고    scopus 로고
    • FRENKEL, IGOR B.; ZHU, YONGCHANG. Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Math. J. 66 (1992) 123-168. MR1159433 (93g:17045), Zbl 0848.17032.
    • FRENKEL, IGOR B.; ZHU, YONGCHANG. Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Math. J. 66 (1992) 123-168. MR1159433 (93g:17045), Zbl 0848.17032.
  • 4
    • 0003317510 scopus 로고    scopus 로고
    • Two-dimensional conformal field theory and vertex operator algebras
    • Birkhäuser, Boston
    • HUANG, YI-ZHI. Two-dimensional conformal field theory and vertex operator algebras. Progress in Math., 148. Birkhäuser, Boston, 1997.
    • (1997) Progress in Math , vol.148
    • HUANG, Y.-Z.1
  • 5
    • 0001645655 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra. IV
    • Zbl 0841.17015, MR1344849 98a:17050
    • HUANG, YI-ZHI. A theory of tensor products for module categories for a vertex operator algebra. IV. J. Pure Appl. Alg. 100 (1995) 173-216. MR1344849 (98a:17050), Zbl 0841.17015.
    • (1995) J. Pure Appl. Alg , vol.100 , pp. 173-216
    • HUANG, Y.-Z.1
  • 6
    • 20644454895 scopus 로고    scopus 로고
    • HUANG, YI-ZHI. Differential equations and intertwining operators. Commun. Contemp. Math. 7 (2005) 375-400. MR2151865 (2006e:17037), Zbl 1070.17012.
    • HUANG, YI-ZHI. Differential equations and intertwining operators. Commun. Contemp. Math. 7 (2005) 375-400. MR2151865 (2006e:17037), Zbl 1070.17012.
  • 7
    • 0002624352 scopus 로고
    • Tensor products of modules for a vertex operator algebras and vertex tensor categories. Lie Theory and Geometry. Progr. Math., 123
    • MR1327541 96e:17061
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. Tensor products of modules for a vertex operator algebras and vertex tensor categories. Lie Theory and Geometry. Progr. Math., 123. Birkhäuser, Boston, 1994, 349-383. MR1327541 (96e:17061).
    • (1994) Birkhäuser, Boston , pp. 349-383
    • HUANG, Y.-Z.1    LEPOWSKY, J.2
  • 8
    • 0000893321 scopus 로고    scopus 로고
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. I. Selecta Math. (New Series) 1 (1995) 699-756. MR1383584 (98a:17047), Zbl 0854.17032.
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. I. Selecta Math. (New Series) 1 (1995) 699-756. MR1383584 (98a:17047), Zbl 0854.17032.
  • 9
    • 34249759387 scopus 로고    scopus 로고
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. II. Selecta Math. (New Series) 1 (1995) 757-786. MR1383584 (98a:17047), Zbl 0854.17033.
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. II. Selecta Math. (New Series) 1 (1995) 757-786. MR1383584 (98a:17047), Zbl 0854.17033.
  • 10
    • 0001645660 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra. III
    • Zbl 0841.17014, MR1344848 98a:17049
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. III. J. Pure Appl. Alg. 100 (1995) 141-171. MR1344848 (98a:17049), Zbl 0841.17014.
    • (1995) J. Pure Appl. Alg , vol.100 , pp. 141-171
    • HUANG, Y.-Z.1    LEPOWSKY, J.2
  • 11
    • 0000713264 scopus 로고    scopus 로고
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. Intertwining operator algebras and vertex tensor categories for affine Lie algebras. Duke Math. J. 99 (1999) 113-134. MR1700743 (2001j:17046), Zbl 0953.17016.
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. Intertwining operator algebras and vertex tensor categories for affine Lie algebras. Duke Math. J. 99 (1999) 113-134. MR1700743 (2001j:17046), Zbl 0953.17016.
  • 12
    • 0004340935 scopus 로고    scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra. V
    • To appear
    • HUANG, YI-ZHI; LEPOWSKY, JAMES. A theory of tensor products for module categories for a vertex operator algebra. V. To appear.
    • HUANG, Y.-Z.1    LEPOWSKY, J.2
  • 13
    • 33749176664 scopus 로고    scopus 로고
    • HUANG, YI-ZHI; LEPOWSKY, JAMES; ZHANG, LIN. A logarithmic generalization of tensor product theory for modules for a vertex operator algebra. Internat. J. Math. 17 (2006), 975-1012. MR2261644 (2007i:17034).
    • HUANG, YI-ZHI; LEPOWSKY, JAMES; ZHANG, LIN. A logarithmic generalization of tensor product theory for modules for a vertex operator algebra. Internat. J. Math. 17 (2006), 975-1012. MR2261644 (2007i:17034).
  • 14
    • 46349087364 scopus 로고    scopus 로고
    • HUANG, YI-ZHI; LEPOWSKY, JAMES; ZHANG, LIN. Logarithmic tensor product theory for generalized modules for a conformal vertex algebra. To appear: arXiv:0710.2687.
    • HUANG, YI-ZHI; LEPOWSKY, JAMES; ZHANG, LIN. Logarithmic tensor product theory for generalized modules for a conformal vertex algebra. To appear: arXiv:0710.2687.
  • 15
    • 84960598757 scopus 로고
    • Affine Lie algebras and quantum groups
    • MR1104840 92g:17015, Zbl 0726.17015
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Affine Lie algebras and quantum groups. Internat. Math. Res. Notices (1991), no. 2, 21-29. MR1104840 (92g:17015), Zbl 0726.17015.
    • (1991) Internat. Math. Res. Notices , Issue.2 , pp. 21-29
    • KAZHDAN, D.1    LUSZTIG, G.2
  • 16
    • 84968466254 scopus 로고    scopus 로고
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Tensor structures arising from affine Lie algebras. I. J. Amer. Math. Soc. 6 (1993) 905-947. MR1186962 (93m:17014), Zbl 0786.17017.
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Tensor structures arising from affine Lie algebras. I. J. Amer. Math. Soc. 6 (1993) 905-947. MR1186962 (93m:17014), Zbl 0786.17017.
  • 17
    • 84968502641 scopus 로고
    • Tensor structures arising from affine Lie algebras. II
    • 949-1011. MR1186962 93m:17014, Zbl 0786.17017
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Tensor structures arising from affine Lie algebras. II. J. Amer. Math. Soc. 6 (1993) 949-1011. MR1186962 (93m:17014), Zbl 0786.17017.
    • (1993) J. Amer. Math. Soc , vol.6
    • KAZHDAN, D.1    LUSZTIG, G.2
  • 18
    • 84968469508 scopus 로고
    • Tensor structures arising from affine Lie algebras. III
    • 335-381. MR1239506 94g:17048, Zbl 0802.17007
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Tensor structures arising from affine Lie algebras. III. J. Amer. Math. Soc. 7 (1994) 335-381. MR1239506 (94g:17048), Zbl 0802.17007.
    • (1994) J. Amer. Math. Soc , vol.7
    • KAZHDAN, D.1    LUSZTIG, G.2
  • 19
    • 84968469508 scopus 로고
    • Tensor structures arising from affine Lie algebras. IV
    • 383-453. MR1239507 94g:17049, Zbl 0802.17008
    • KAZHDAN, DAVID; LUSZTIG, GEORGE. Tensor structures arising from affine Lie algebras. IV. J. Amer. Math. Soc. 7 (1994) 383-453. MR1239507 (94g:17049), Zbl 0802.17008.
    • (1994) J. Amer. Math. Soc , vol.7
    • KAZHDAN, D.1    LUSZTIG, G.2
  • 20
    • 46349084137 scopus 로고    scopus 로고
    • LEPOWSKY, JAMES; LI, HAISHENG. Introduction to vertex operator algebras and their representations. Progress in Math., 227. Birkhäuser, Boston, 2003. MR2023933 (2004k:17050), Zbl 1055.17001
    • LEPOWSKY, JAMES; LI, HAISHENG. Introduction to vertex operator algebras and their representations. Progress in Math., 227. Birkhäuser, Boston, 2003. MR2023933 (2004k:17050), Zbl 1055.17001
  • 21
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • 177-254. MR1002038 90e:81216, Zbl 0694.53074
    • MOORE, GREGORY; SEIBERG, NATHAN. Classical and quantum conformal field theory. Commun. Math. Phys. 123 (1989) 177-254. MR1002038 (90e:81216), Zbl 0694.53074.
    • (1989) Commun. Math. Phys , vol.123
    • MOORE, G.1    SEIBERG, N.2
  • 22
    • 46349097756 scopus 로고    scopus 로고
    • YAKIMOV, MILEN. Categories of modules over an affine Kac-Moody algebra and the Kazhdan-Lusztig tensor product. arXiv:math.RT/0210180.
    • YAKIMOV, MILEN. Categories of modules over an affine Kac-Moody algebra and the Kazhdan-Lusztig tensor product. arXiv:math.RT/0210180.
  • 23
    • 46349091281 scopus 로고    scopus 로고
    • ZHANG, LIN. Vertex operator algebras and Kazhdan-Lusztig's tensor category. Ph.D. Thesis, Rutgers University, 2004.
    • ZHANG, LIN. Vertex operator algebras and Kazhdan-Lusztig's tensor category. Ph.D. Thesis, Rutgers University, 2004.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.