Izvestiya. Mathematics, Tome 40 (1993) no. 2, pp. 425-442
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V. A. Smirnov. Secondary operations in the homology of the operad $E$. Izvestiya. Mathematics, Tome 40 (1993) no. 2, pp. 425-442. http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a5/
@article{IM2_1993_40_2_a5,
author = {V. A. Smirnov},
title = {Secondary operations in the homology of the operad $E$},
journal = {Izvestiya. Mathematics},
pages = {425--442},
year = {1993},
volume = {40},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a5/}
}
TY - JOUR
AU - V. A. Smirnov
TI - Secondary operations in the homology of the operad $E$
JO - Izvestiya. Mathematics
PY - 1993
SP - 425
EP - 442
VL - 40
IS - 2
UR - http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a5/
LA - en
ID - IM2_1993_40_2_a5
ER -
%0 Journal Article
%A V. A. Smirnov
%T Secondary operations in the homology of the operad $E$
%J Izvestiya. Mathematics
%D 1993
%P 425-442
%V 40
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1993_40_2_a5/
%G en
%F IM2_1993_40_2_a5
This paper studies the homology of the $\Sigma$-free and acyclic operad $E$. It is shown that this homology constitutes a free Hopf bialgebra. Secondary operations are defined, relations established for them, and formulas obtained for their computation.