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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Braided symmetric and exterior algebras
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by Arkady Berenstein and Sebastian Zwicknagl PDF
Trans. Amer. Math. Soc. 360 (2008), 3429-3472 Request permission

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
  • 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