Geodesic
OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N-TUPLE SYSTEMS
Glasgow mathematical journal, Tome 62 (2020), pp. S128-S141

Voir la notice de l'article provenant de la source Cambridge

DOI

The cup product in the cohomology of algebras over quadratic operads has been studied in the general setting of Koszul duality for operads. We study the cup product on the cohomology of n-ary totally associative algebras with an operation of even (homological) degree. This cup product endows the cohomology with the structure of an n-ary partially associative algebra with an operation of even or odd degree depending on the parity of n. In the cases n=3 and n=4, we provide an explicit definition of this cup product and prove its basic properties. 
BAGHERZADEH, FATEMEH; BREMNER, MURRAY. OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N-TUPLE SYSTEMS. Glasgow mathematical journal, Tome 62 (2020), pp. S128-S141. doi: 10.1017/S0017089519000454
@article{10_1017_S0017089519000454,
     author = {BAGHERZADEH, FATEMEH and BREMNER, MURRAY},
     title = {OPERADIC {APPROACH} {TO} {COHOMOLOGY} {OF} {ASSOCIATIVE} {TRIPLE} {AND} {N-TUPLE} {SYSTEMS}},
     journal = {Glasgow mathematical journal},
     pages = {S128--S141},
     year = {2020},
     volume = {62},
     number = {S1},
     doi = {10.1017/S0017089519000454},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000454/}
}
TY  - JOUR
AU  - BAGHERZADEH, FATEMEH
AU  - BREMNER, MURRAY
TI  - OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N-TUPLE SYSTEMS
JO  - Glasgow mathematical journal
PY  - 2020
SP  - S128
EP  - S141
VL  - 62
IS  - S1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000454/
DO  - 10.1017/S0017089519000454
ID  - 10_1017_S0017089519000454
ER  - 
%0 Journal Article
%A BAGHERZADEH, FATEMEH
%A BREMNER, MURRAY
%T OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N-TUPLE SYSTEMS
%J Glasgow mathematical journal
%D 2020
%P S128-S141
%V 62
%N S1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000454/
%R 10.1017/S0017089519000454
%F 10_1017_S0017089519000454

Cité par Sources :