Distributive laws and Koszulness

Markl, Martin. "Distributive laws and Koszulness." Annales de l'institut Fourier 46.2 (1996): 307-323. <http://eudml.org/doc/75180>.

@article{Markl1996,
abstract = {Distributive law is a way to compose two algebraic structures, say $\{\cal U\}$ and $\{\cal V\}$, into a more complex algebraic structure $\{\cal W\}$. The aim of this paper is to understand distributive laws in terms of operads. The central result says that if the operads corresponding respectively to $\{\cal U\}$ and $\{\cal V\}$ are Koszul, then the operad corresponding to $\{\cal W\}$ is Koszul as well. An application to the cohomology of configuration spaces is given.},
author = {Markl, Martin},
journal = {Annales de l'institut Fourier},
keywords = {distributive law; operad; koszulness; configuration spaces},
language = {eng},
number = {2},
pages = {307-323},
publisher = {Association des Annales de l'Institut Fourier},
title = {Distributive laws and Koszulness},
url = {http://eudml.org/doc/75180},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Markl, Martin
TI - Distributive laws and Koszulness
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 2
SP - 307
EP - 323
AB - Distributive law is a way to compose two algebraic structures, say ${\cal U}$ and ${\cal V}$, into a more complex algebraic structure ${\cal W}$. The aim of this paper is to understand distributive laws in terms of operads. The central result says that if the operads corresponding respectively to ${\cal U}$ and ${\cal V}$ are Koszul, then the operad corresponding to ${\cal W}$ is Koszul as well. An application to the cohomology of configuration spaces is given.
LA - eng
KW - distributive law; operad; koszulness; configuration spaces
UR - http://eudml.org/doc/75180
ER -