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Algebraic Operads
book

Algebraic Operads

by Murray R. Bremner, Vladimir Dotsenko
April 2016
Intermediate to advanced content levelIntermediate to advanced
383 pages
11h 46m
English
Chapman and Hall/CRC
Content preview from Algebraic Operads
146 Algebraic Operads: An Algorithmic Companion
The parent function and the planar structure on the thus defined set of vertices
are induced by the respective parent functions and planar structures of τ
i
,
0 i r, with the following exceptions. For each j = 1, . . . , r, for the only
vertex v
j
in Parent
1
τ
j
(Root(τ
j
)), we define
Parent
τ
(v
j
) := Parent
τ
0
(
j
),
where
j
= n
1
0
(j) is the leaf of τ
0
numbered by j. This means that
Parent
1
τ
(Parent
τ
0
(
j
)) = {v
j
} tParent
1
τ
0
(Parent
τ
0
(
j
)) \{
j
};
the total order needed by the planar structure puts v
j
in the place of
j
.
The labelling x of Int(τ) =
F
r
i=0
Int(τ
i
) is given by the disjoint union of
labellings x
j
, 1 j
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Publisher Resources

ISBN: 9781482248579