(Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00450634" target="_blank" >RIV/67985840:_____/15:00450634 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s40062-014-0090-7" target="_blank" >http://dx.doi.org/10.1007/s40062-014-0090-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40062-014-0090-7" target="_blank" >10.1007/s40062-014-0090-7</a>

Result language

angličtina

Original language name

(Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities

Original language description

We investigate operads for various n-ary algebras. As a useful tool we introduce galgalim-analogs of the Lie-hedra for n-ary algebras. We then focus on algebras with one anti-associative operation. We describe the relevant part of the deformation cohomology for this type of algebra using the minimal model for the anti-associative operad. We also discuss free partially associative algebras and formulate some open problems.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Homotopy and Related Structures

ISSN

2193-8407

e-ISSN

—

Volume of the periodical

10

Issue of the periodical within the volume

4

Country of publishing house

GE - GEORGIA

Number of pages

31

Pages from-to

939-969

UT code for WoS article

000365167200010

EID of the result in the Scopus database

2-s2.0-84958524673