Braided symmetric and exterior algebras
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- by Arkady Berenstein and Sebastian Zwicknagl PDF
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Abstract:
The goal of the paper is to introduce and study symmetric and exterior algebras in certain braided monoidal categories such as the category $\mathcal {O}$ for quantum groups. We relate our braided symmetric algebras and braided exterior algebras with their classical counterparts.References
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Additional Information
- Arkady Berenstein
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- Email: arkadiy@math.uoregon.edu
- Sebastian Zwicknagl
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521
- Email: zwicki@noether.uoregon.edu, zwick@math.ucr.edu
- Received by editor(s): November 9, 2005
- Published electronically: February 13, 2008
- Additional Notes: This research was supported in part by NSF grants #DMS-0102382 and #DMS-0501103
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 3429-3472
- MSC (2000): Primary 17B37; Secondary 17B63
- DOI: https://doi.org/10.1090/S0002-9947-08-04373-0
- MathSciNet review: 2386232