Interplay between Z2-gradings and automorphisms in the Grassmann algebra: a survey
Abstract
Let F be a field of characteristic different from two, and let E be the Grassmann algebra of an infinite-dimensional F-vector space L. In this paper, we survey recent results concerning automorphisms of order two of E and the corresponding induced superalgebra structures. We also present concrete examples of non-homogeneous automorphisms of E, as discussed in agpkauto, anagomes. The paper concludes with a conjecture regarding the classification of the superalgebra structures of E.
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