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Introduction

Part of the Lecture Notes in Mathematics book series (LNM,volume 1763)

Abstract

The four papers of this volume deal with new notions of algebras whose common feature is to have two generating operations. So they are called dialgebras. The first motivation to introduce such algebraic structures was a problem in algebraic K-theory. It turned out later that some of them (the dendriform dialgebras) are closely related to Hopf algebras occuring in the theory of renor-malization of A. Connes and D. Kreimer. They are also closely related to the notion of homotopy Gerstenhaber algebra.

Keywords

  • Associative Algebra
  • Leibniz Algebra
  • Cyclic Homology
  • Hochschild Homology
  • Koszul Duality

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Introduction. In: Dialgebras and Related Operads. Lecture Notes in Mathematics, vol 1763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45328-8_1

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  • DOI: https://doi.org/10.1007/3-540-45328-8_1

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  • Print ISBN: 978-3-540-42194-8

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