Module structure in certain algebras
For ages now, the literature has abounded with various graded algebras whose homogeneous components can be treated as modules for the general linear group (by algebra automorphisms) and the general linear Lie algebra (by derivations). Most of these algebras are relatively free (for example, polynomial algebras) but the exterior algebra of a vector space instances one which is not. This paper is an attempt to treat these algebras in a uniform manner, with particular emphasis on the module...[Show more]
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