References
H. Andersen, Quantum groups, invariants of 3-manifolds and semisimple tensor categories, Israel Math. Conf. Proc. 7 (1993), 1–12.
H. Andersen, Tensor products of quantized tilting modules, CMP 149 (1992), 149–159.
H. Andersen, J. Paradowski, Fusion categories arising from semisimple Lie algebras, CMP 169 (1995), 563–588.
A. Beilinson, B. Feigin, B. Mazur, Introduction to algebraic field theories on curves, preprint.
P. Deligne, Une description de catégorie tressée (inspiré par Drinfeld), unpublished.
B. Feigin, The semiinfinite homology of Kac-Moody and Virasoro Lie algebras, Russian Math. Surveys 39 (1984), 155–156.
B. Feigin, V. Schechtman, A. Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models, II, CMP 170 (1995), 219–247.
B. Feigin, A. Zelevinsky, Representations of contragredient Lie algebras and Macdonald identities, in “Representations of Lie Groups and Lie Algebras” (A.A. Kirillov, ed.), Ak. Kiado, Budapest (1985), 25–77.
S. Gelfand, D. Kazhdan, Examples of tensor categories, Inv. Math. 109 (1992), 595–617.
S. Gelfand, D. Kazhdan, Invariants of three-dimensional manifolds, to appear.
J.C. Jantzen, Representations of Algebraic Groups, Pure and Applied Mathematics 131, Academic Press, 1987.
D. Kazhdan, G. Lusztig, Tensor structures arising from affine Lie algebras, I, J. Amer. Math. Soc. 6 (1993), 905–947.
D. Kazhdan, G. Lusztig, Tensor structures arising from affine Lie algebras, II, J. Amer. Math. Soc. 6 (1993), 949–1011.
D. Kazhdan, G. Lusztig, Tensor structures arising from affine Lie algebras, III, J. Amer. Math. Soc. 7 (1994), 335–381.
D. Kazhdan, G. Lusztig, Tensor structures arising from affine Lie algebras, IV, J. Amer. Math. Soc. 7 (1994), 383–453.
A. Kirillov, Jr., On inner product in modular tensor categories, I, preprint q-alg/950817, to appear in J. amer. Math. Soc.
V. Knizhnik, A. Zamolodchikov, Current algebra and Wess-Zumino models in two dimensions, Nucl. Phys. B 247 (1984), 83–103.
S. Kumar, Extension of the categoryO and a vanishing theorem for the Ext functor for Kac-Moody algebras, J. of Algebra 108 (1987), 472–491.
G. Lusztig, Monodromic systems on affine flag manifolds, Proc. R. Soc. Lond. A 445 (1994), 231–246.
G. Moore, N. Seiberg, Classical and conformal field theory, CMP 123 (1989), 177–254.
C.M. Ringel, The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences, Math. Z. 208 (1991), 209–223.
A. Rocha-Caridi, N.R. Wallach, Projective modules over graded Lie algebras, Math. Z. 180 (1982), 151–177.
A. Tsuchiya, K. Ueno, Y. Yamada, Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries, Advanced Studies in Pure Math. 19 (1989), 459–566.
E. Verlinde, Fusion rules and modular transformations in 2-d conformal field theory, Nucl. Phys. B 300 (1988), 360–376.
Author information
Authors and Affiliations
Additional information
To Joseph Bernstein on the occasion of his 50th birthday
Supported by A.P. Sloan Doctoral Dissertation Fellowship.
An erratum to this article is available at http://dx.doi.org/10.1007/s00039-013-0230-y.
Rights and permissions
About this article
Cite this article
Finkelberg, M. An equivalence of fusion categories. Geometric and Functional Analysis 6, 249–267 (1996). https://doi.org/10.1007/BF02247887
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02247887