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arxiv: 1003.4165 · v1 · pith:UL7GIPDUnew · submitted 2010-03-22 · 🧮 math.RA

Ordinary and Z/2Z-graded Cocharacters of UT₂(E)

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keywords algebracocharactersordinaryz-gradedcharacteristiccoefficientscomputedimensional
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Let E be the infinite dimensional Grassmann algebra over a field F of characteristic 0. In this paper we compute the ordinary and the Z/2Z-graded cocharacters of the algebra of 2x2 upper triangular matrices with coefficients in E, using the tool of proper Hilbert series.

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