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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Braided symmetric and exterior algebras


Authors: Arkady Berenstein and Sebastian Zwicknagl
Journal: Trans. Amer. Math. Soc. 360 (2008), 3429-3472
MSC (2000): Primary 17B37; Secondary 17B63
Published electronically: February 13, 2008
MathSciNet review: 2386232
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04373-0
PII: S 0002-9947(08)04373-0
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.