Dialgebra cohomology as a G-algebra

Authors:
Anita Majumdar and Goutam Mukherjee

Journal:
Trans. Amer. Math. Soc. **356** (2004), 2443-2457

MSC (2000):
Primary 13D03, 17B63; Secondary 18G60

DOI:
https://doi.org/10.1090/S0002-9947-03-03387-7

Published electronically:
November 25, 2003

MathSciNet review:
2048524

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: It is well known that the Hochschild cohomology of an associative algebra admits a G-algebra structure. In this paper we show that the dialgebra cohomology of an associative dialgebra has a similar structure, which is induced from a homotopy G-algebra structure on the dialgebra cochain complex .

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Additional Information

**Anita Majumdar**

Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata-700108, India

Email:
anita_r@isical.ac.in

**Goutam Mukherjee**

Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata-700108, India

Email:
goutam@isical.ac.in

DOI:
https://doi.org/10.1090/S0002-9947-03-03387-7

Keywords:
Dialgebra,
operad,
brace algebra,
homotopy G-algebra,
G-algebra

Received by editor(s):
September 27, 2002

Received by editor(s) in revised form:
April 24, 2003

Published electronically:
November 25, 2003

Additional Notes:
The first author was supported by an N.B.H.M. Research Fellowship

Article copyright:
© Copyright 2003
American Mathematical Society