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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
Case Study of Nonsymmetric Binary Cubic Operads 301
case parameters nilpotent |X|
k
percentage
1 6 1768810 1771561 99.845
2 5 160662 161051 99.758
3 4 14636 14641 99.966
4 4 14570 14641 99.515
5 3 1310 1331 98.422
Closer inspection of these results shows that we can obtain nilpotent operads
even when only one of the parameters is nonzero. Since this special case has
only one parameter, we can make the corresponding substitutions into the
quartic relation matrix C, and compute its Smith normal form. In all cases
the minimal rank is 12, and so the first 12 diagonal entries of the Smith form
are 1; we are only concerned with the last two diagonal
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Publisher Resources

ISBN: 9781482248579