Free colored operads

2016 ◽  
pp. 381-408
Keyword(s):  
Colored Operads

scholarly journals THE PRE-LIE OPERAD AS A DEFORMATION OF NAP

2013 ◽  
Vol 13 (01) ◽  
pp. 1350076 ◽  
Author(s):  
ABDELLATIF SAÏDI
Keyword(s):  
Lie Algebras ◽  
Graded Algebras ◽  
Scalar Parameter ◽  
Additive Semigroup ◽  
Colored Operads ◽  
Positive Integers

We introduce current-preserving operads, which are colored operads together with an additive semigroup structure on the set G of colors. This is the natural framework in which types of G-graded algebras can be dealt with. As an example of application, we deform the NAP operad into the pre-Lie operad in this context, where G is the additive semigroup of positive integers. More precisely, we give a family [Formula: see text] of current-preserving operads, depending on a scalar parameter λ, such that [Formula: see text], respectively, [Formula: see text], is the current-preserving operad governing graded NAP (respectively, pre-Lie) algebras.

scholarly journals Bousfield Localization and Algebras over Colored Operads

2017 ◽  
Vol 26 (1) ◽  
pp. 153-203 ◽  
Author(s):  
David White ◽  
Donald Yau
Keyword(s):  
Colored Operads ◽  
Bousfield Localization

scholarly journals Relative left properness of colored operads

2016 ◽  
Vol 16 (5) ◽  
pp. 2691-2714 ◽  
Author(s):  
Philip Hackney ◽  
Marcy Robertson ◽  
Donald Yau
Keyword(s):  
Colored Operads

Colored Operads

2016 ◽  
Author(s):  
Donald Yau
Keyword(s):  
Colored Operads
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