Skip to Main Content
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
128 Algebraic Operads: An Algorithmic Companion
If T = (π, m) is a shuffle monomial of the same arity n
2
as T
2
, the
insertion operation replaces the part
p+k
1
1
F
j=p
I
(j)
1
of π
1
by ˜π, the parti-
tion obtained from π by the bijection σ
1
, and also replaces the subword
m
(p)
1
m
(p+1)
1
⊗···⊗m
(p+k
1
1)
1
of m
1
by m. Then, this operation is extended
by linearity to all shuffle polynomials of the same arity.
Remark 4.4.2.5. Our notation is not completely precise, since there may be
several different divisors T
2
inside T
1
. We always assume that the operation
T
1
,T
2
inserts everything at a particular occurrence of T
2
inside T
1
which is
implicit.
Example 4.4.2.6. Consider the sh
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Reinventing the Organization for GenAI and LLMs

Reinventing the Organization for GenAI and LLMs

Ethan Mollick
Algebraic and Stochastic Coding Theory

Algebraic and Stochastic Coding Theory

Dave K. Kythe, Prem K. Kythe

Publisher Resources

ISBN: 9781482248579