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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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A Koszul duality for props
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by Bruno Vallette PDF
Trans. Amer. Math. Soc. 359 (2007), 4865-4943 Request permission

Abstract:

The notion of prop models the operations with multiple inputs and multiple outputs, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszul duality theory of associative algebras and operads to props.
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Additional Information
  • Bruno Vallette
  • Affiliation: Laboratoire J. A. Dieudonné, Université de Nice, Parc Valrose, 06108 Nice Cedex 02, France
  • Email: brunov@math.unice.fr
  • Received by editor(s): June 27, 2005
  • Published electronically: May 16, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 4865-4943
  • MSC (2000): Primary 18D50; Secondary 16W30, 17B26, 55P48
  • DOI: https://doi.org/10.1090/S0002-9947-07-04182-7
  • MathSciNet review: 2320654