Skip to main content
SpringerLink
Log in

A Master Identity for Homotopy Gerstenhaber Algebras

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

We produce a master identity for a certain type of homotopy Gerstenhaber algebras, in particular suitable for the prototype, namely the Hochschild complex of an associative algebra. This algebraic master identity was inspired by the work of Getzler–Jones and Kimura–Voronov–Zuckerman in the context of topological conformal field theories. To this end, we introduce the notion of a “partitioned multilinear map” and explain the mechanics of composing such maps. In addition, many new examples of pre-Lie algebras and homotopy Gerstenhaber algebras are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Coastal Carolina University, PO Box 261954, Conway, SC 29528-6054, USA. E-mail: fusun@coastal.edu, , , , , , US

    Füsun Akman

Authors
  1. Füsun Akman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 2 March 1998 / Accepted: 16 July 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akman, F. A Master Identity for Homotopy Gerstenhaber Algebras. Comm Math Phys 209, 51–76 (2000). https://doi.org/10.1007/s002200050015

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050015

Keywords

Search

Navigation