Koszul duality for operadic categories
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00573351" target="_blank" >RIV/67985840:_____/23:00573351 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/23:10475406
Result on the web
<a href="https://doi.org/10.32408/compositionality-5-4" target="_blank" >https://doi.org/10.32408/compositionality-5-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.32408/compositionality-5-4" target="_blank" >10.32408/compositionality-5-4</a>
Alternative languages
Result language
angličtina
Original language name
Koszul duality for operadic categories
Original language description
The aim of this paper (which is a sequel to Operadic categories as a natural environment for Koszul duality) is to set up the cornerstones of Koszul duality and Koszulity in the context of operads over a large class of operadic categories. In particular, for these operadic categories we will study concrete examples of binary quadratic operads, describe their Koszul duals and prove that they are Koszul. This includes operads (for operadic categories) whose algebras are the most important operad- and PROP-like structures such as the classical operads, their variants such as cyclic or modular operads, and also diverse versions of PROPs such as wheeled properads, dioperads, 1/2 PROPs, and still more exotic objects such as permutads and pre-permutads.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Compositionality
ISSN
2631-4444
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
56
Pages from-to
1-56
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85175188133