Hopf algebras of types $U_q(sl_n)’$ and $O_q(SL_n)’$ which give rise to certain invariants of knots, links and 3-manifolds
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- by Shlomo Gelaki and Sara Westreich PDF
- Trans. Amer. Math. Soc. 352 (2000), 3821-3836 Request permission
Abstract:
In this paper we determine when Lusztig’s $U_q(sl_n)’$ has all the desired properties necessary to define invariants of knots, links and 3-manifolds. Specifically, we determine when it is ribbon, unimodular and factorizable. We also compute the integrals and distinguished elements involved.References
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Additional Information
- Shlomo Gelaki
- Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
- Address at time of publication: Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720
- Email: shlomi@msri.org
- Sara Westreich
- Affiliation: Interdisciplinary Department of the Social Science, Bar-Ilan University, Ramat-Gan, Israel
- Email: swestric@mail.cc.biu.ac.il
- Received by editor(s): April 2, 1997
- Received by editor(s) in revised form: November 12, 1997
- Published electronically: April 18, 2000
- Additional Notes: This research was supported by The Israel Science Foundation founded by the Israel Academy of Sciences and Humanities.
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 3821-3836
- MSC (2000): Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9947-00-02283-2
- MathSciNet review: 1491865