Non-Koszulness of operads and positivity of Poincaré series
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524630" target="_blank" >RIV/67985840:_____/20:00524630 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.25537/dm.2020v25.309-328" target="_blank" >http://dx.doi.org/10.25537/dm.2020v25.309-328</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.25537/dm.2020v25.309-328" target="_blank" >10.25537/dm.2020v25.309-328</a>
Alternative languages
Result language
angličtina
Original language name
Non-Koszulness of operads and positivity of Poincaré series
Original language description
We prove that the operad of mock partially associative n-ary algebras is not Koszul, as conjectured by the second and the third author in 2009, and utilise the Zeilberger's algorithm for hypergeometric summation to demonstrate that non-Koszulness of that operad for n=8 cannot be established by hunting for negative coefficients in the inverse of its Poincaré series.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-07776S" target="_blank" >GA18-07776S: Higher structures in algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Documenta Mathematica
ISSN
1431-0643
e-ISSN
—
Volume of the periodical
25
Issue of the periodical within the volume
June
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
309-328
UT code for WoS article
000592702600011
EID of the result in the Scopus database
2-s2.0-85096925190