References
Deligne, P.: Catégories Tannakiennes. Grothendieck Festschrift, vol. 2, Birkhäuser, Boston, 1991, pp. 111–195
Lusztig, G.: Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. J. Am. Math. Soc.3, 257–296 (1990)
Lusztig, G.: Quantum groups at roots of 1. Geom. Dedicate35, 89–114 (1990)
Tsuchiya, A., Kanie, Y.: Vertex operators in two dimensional conformal field theory on P1 and monodromy representations of braid groups. Adv. Stud. Pure Math., vol. 16. Academic Press, Boston, 1988, pp. 297–372; vol. 19, 1898, pp. 675–682
Reshetikhin, Yu., Turaev, V.G.: Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math.103, 547–597 (1991)
Turaev, V., Wenzl, H.: State sum invariants of 3-manifolds via link polynomials and quantum print (1991)
Andersen, H.H.: Tensor products of quantized tilting modules. Preprint (1991)
MacLane, S.: Categories for working mathematician. Springer, Berlin Heidelberg New York 1967
Deligne, P., Milne, J.S.: Tannakian categories, Lecture Notes in Math., vol. 900. Springer, Berlin Heidelberg New York 1982, pp. 101–228
Saavedra Rivano, N.: Catégories Tannakiennes, Lecture Notes in Math., vol. 265. Springer, Berlin Heidelberg New York, 1972
Jantzen, J.C.: Representations of algebraic groups, Academic Press, Boston, 1987
Tits, J.: Tabellen zu den einfachen Lieschen Gruppen und ihren Darstellungen, Lecture Notes in Math., vol. 40. Springer, Berlin Heidelberg New York 1967
Onischik, A.L., Vinberg, E.B.: Lie groups and algebraic groups. Springer, Berlin Heidelberg New York 1990
Lusztig, G.: Modular representations and quantum groups. In: Classical groups and related topics, Contemp. Math.82, 59–77 (1989)
Andersen, H.H., Polo, P., Wen, K.: Representations of quantum algebras. Invent. Math.104, 1–59 (1991)
Borel, A.: Properties and linear representations of Chevalley group. Lecture Notes in Math., vol. 131. Springer, Berlin Heidelberg New York 1970, pp. 1–55
Kazhdan, D., Verbitsky, M.: Cohomology of restricted quantized universal enveloping algebras. Preprint, Harvard University 1991
Author information
Authors and Affiliations
Additional information
Oblatum 11-VI-1991
The second author was partially supported by NSF Grant
Rights and permissions
About this article
Cite this article
Gelfand, S., Kazhdan, D. Examples of tensor categories. Invent Math 109, 595–617 (1992). https://doi.org/10.1007/BF01232042
Issue Date:
DOI: https://doi.org/10.1007/BF01232042