Homology, Homotopy and Applications

Volume 7 (2005)

Number 2

Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University

On the cobar construction of a bialgebra

Pages: 109 – 122

DOI: https://dx.doi.org/10.4310/HHA.2005.v7.n2.a6

Author

T. Kadeishvili (A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi, Republic of)

Abstract

We show that the cobar construction of a DG-bialgebra is a homotopy G-algebra. This implies that the bar construction of this cobar is a DG-bialgebra as well.

Keywords

cobar construction, DG-bialgebra, Homotopy G-algebra

2010 Mathematics Subject Classification

Primary 57T30. Secondary 55P48, 55Txx, 55U15.

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Published 1 January 2005