Distributive laws between the operads Lie and Com
2020 ◽
Vol 30
(08)
◽
pp. 1565-1576
Keyword(s):
Using methods of computer algebra, especially, Gröbner bases for submodules of free modules over polynomial rings, we solve a classification problem in theory of algebraic operads: we show that the only nontrivial (possibly inhomogeneous) distributive law between the operad of Lie algebras and the operad of commutative associative algebras is given by the Livernet–Loday formula deforming the Poisson operad into the associative operad.
1993 ◽
Vol 45
(4)
◽
pp. 727-739
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Keyword(s):
2014 ◽
Vol 24
(08)
◽
pp. 1157-1182
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2011 ◽
Vol 48
(4)
◽
pp. 458-474
Keyword(s):
2008 ◽
Vol 2
(4)
◽
pp. 587-599
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Keyword(s):
2003 ◽
Vol 14
(1)
◽
pp. 1-10
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