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Free assosymmetric algebras as modules of groups. (arXiv:1810.05254v1 [math.RA])

来源于:arXiv
An algebra with identities $(a,b,c)=(a,c,b)=(b,a,c)$ is called {\it assosymmetric}, where $(x,y,z)=(xy)z-x(yz)$ is associator. We study $S_n$-module, $A_n$-module and $GL_n$-module structures of free assosymmetric algebra. 查看全文>>