Free assosymmetric algebras as modules of groups
Abstract
An algebra with identities (a,b,c)=(a,c,b)=(b,a,c) is called assosymmetric, where (x,y,z)=(xy)z-x(yz) is associator. We study Sn-module, An-module and GLn-module structures of free assosymmetric algebra.
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