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Dialgebra cohomology as a G-algebra
Author(s):
Anita
Majumdar;
Goutam
Mukherjee
Journal:
Trans. Amer. Math. Soc.
356
(2004),
2443-2457.
MSC (2000):
Primary 13D03, 17B63;
Secondary 18G60
Posted:
November 25, 2003
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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  .
References:
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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:
10.1090/S0002-9947-03-03387-7
PII:
S 0002-9947(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
Posted:
November 25, 2003
Additional Notes:
The first author was supported by an N.B.H.M. Research Fellowship
Copyright of article:
Copyright
2003,
American Mathematical Society
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