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Examples of tensor categories

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References

  1. Deligne, P.: Catégories Tannakiennes. Grothendieck Festschrift, vol. 2, Birkhäuser, Boston, 1991, pp. 111–195

    Google Scholar 

  2. Lusztig, G.: Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. J. Am. Math. Soc.3, 257–296 (1990)

    Google Scholar 

  3. Lusztig, G.: Quantum groups at roots of 1. Geom. Dedicate35, 89–114 (1990)

    Google Scholar 

  4. 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

    Google Scholar 

  5. Reshetikhin, Yu., Turaev, V.G.: Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math.103, 547–597 (1991)

    Google Scholar 

  6. Turaev, V., Wenzl, H.: State sum invariants of 3-manifolds via link polynomials and quantum print (1991)

  7. Andersen, H.H.: Tensor products of quantized tilting modules. Preprint (1991)

  8. MacLane, S.: Categories for working mathematician. Springer, Berlin Heidelberg New York 1967

    Google Scholar 

  9. Deligne, P., Milne, J.S.: Tannakian categories, Lecture Notes in Math., vol. 900. Springer, Berlin Heidelberg New York 1982, pp. 101–228

    Google Scholar 

  10. Saavedra Rivano, N.: Catégories Tannakiennes, Lecture Notes in Math., vol. 265. Springer, Berlin Heidelberg New York, 1972

    Google Scholar 

  11. Jantzen, J.C.: Representations of algebraic groups, Academic Press, Boston, 1987

    Google Scholar 

  12. Tits, J.: Tabellen zu den einfachen Lieschen Gruppen und ihren Darstellungen, Lecture Notes in Math., vol. 40. Springer, Berlin Heidelberg New York 1967

    Google Scholar 

  13. Onischik, A.L., Vinberg, E.B.: Lie groups and algebraic groups. Springer, Berlin Heidelberg New York 1990

    Google Scholar 

  14. Lusztig, G.: Modular representations and quantum groups. In: Classical groups and related topics, Contemp. Math.82, 59–77 (1989)

  15. Andersen, H.H., Polo, P., Wen, K.: Representations of quantum algebras. Invent. Math.104, 1–59 (1991)

    Google Scholar 

  16. Borel, A.: Properties and linear representations of Chevalley group. Lecture Notes in Math., vol. 131. Springer, Berlin Heidelberg New York 1970, pp. 1–55

    Google Scholar 

  17. Kazhdan, D., Verbitsky, M.: Cohomology of restricted quantized universal enveloping algebras. Preprint, Harvard University 1991

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Oblatum 11-VI-1991

The second author was partially supported by NSF Grant

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Gelfand, S., Kazhdan, D. Examples of tensor categories. Invent Math 109, 595–617 (1992). https://doi.org/10.1007/BF01232042

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