A-codimensions and a-cocharacters
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Abstract
The codimensions and the cocharacters of a p.i. algebra arise from the group algebraFS n of the symmetric groupS n , whereF is an algebraically closed field of characteristic zero. The subalgebraFA n of the alternating subgroupA n gives rise to the corresponding A-codimensions and A-cocharacters. Some general properties of these invariants are studied. In particular, the A-codimensions and the A-cocharacters of the infinite dimensional Grassmann (exterior) algebraE are calculated.
Keywords
Left Ideal Polynomial Identity Grassmann Algebra Minimal Left Ideal Weyl Module
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