Bekzat Zhakhayev ; Askar Dzhumadil'daev ; Saule Abdykassymova - Assosymmetric Operad

cm:9740 - Communications in Mathematics, September 19, 2022, Volume 30 (2022), Issue 1 -
Assosymmetric Operad

Authors: Bekzat Zhakhayev ; Askar Dzhumadil'daev ; Saule Abdykassymova

    An algebra with identities (a, b, c) = (a, c, b) = (b, a, c) is called assosymmetric, where (x, y, z) = x(yz) − (xy)z is associator. We establish that operad of assosymmetric algebras is not Koszul. We study Sn-module, An-module and GLn-module structures on multilinear parts of assosymmetric operad.

    Volume: Volume 30 (2022), Issue 1
    Published on: September 19, 2022
    Accepted on: June 24, 2021
    Submitted on: June 25, 2022
    Keywords: Free assosymmetric algebras, Specht module, Weyl module, cocharacter, codimension, colength.


    Name Size
    Assosymmetric Operad.pdf
    md5: c5ff449e2af6a800db9a37e3bd941726
    331.98 KB

    Linked publications - datasets - softwares

    Source : Zenodo DOI 10.1007/s10958-009-9532-x
    Source : Zenodo DOI 10.5281/zenodo.6735104
    Source : ScholeXplorer IsRelatedTo DOI 10.1007/s10958-009-9532-x
    • 10.1007/s10958-009-9532-x
    Algebras with skew-symmetric identity of degree 3

    Consultation statistics

    This page has been seen 122 times.
    This article's PDF has been downloaded 83 times.