Geodesic
Non-Koszulness of Operads and Positivity of Poincaré Series
Documenta mathematica, Tome 25 (2020), pp. 309-328
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/748
Classification : 13D40, 18M70, 33E30, 33F10, 39A06, 39A22
Mots-clés : operad, Koszul duality, Koszulness, Zeilberger's algorithm 
@article{10_4171_dm_748,
     author = {Elisabeth Remm and Vladimir Dotsenko and Martin Markl},
     title = {Non-Koszulness of {Operads} and {Positivity} of {Poincar\'e} {Series}},
     journal = {Documenta mathematica},
     pages = {309--328},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/748},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/748/}
}
TY  - JOUR
AU  - Elisabeth Remm
AU  - Vladimir Dotsenko
AU  - Martin Markl
TI  - Non-Koszulness of Operads and Positivity of Poincaré Series
JO  - Documenta mathematica
PY  - 2020
SP  - 309
EP  - 328
VL  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/748/
DO  - 10.4171/dm/748
ID  - 10_4171_dm_748
ER  - 
%0 Journal Article
%A Elisabeth Remm
%A Vladimir Dotsenko
%A Martin Markl
%T Non-Koszulness of Operads and Positivity of Poincaré Series
%J Documenta mathematica
%D 2020
%P 309-328
%V 25
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/748/
%R 10.4171/dm/748
%F 10_4171_dm_748
Elisabeth Remm; Vladimir Dotsenko; Martin Markl. Non-Koszulness of Operads and Positivity of Poincaré Series. Documenta mathematica, Tome 25 (2020), pp. 309-328. doi: 10.4171/dm/748

Cité par Sources :