On the Divided Power Algebra and the Symplectic Group in Chracteristic 2

Mathematics – Representation Theory

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9 pages

Scientific paper

Let V be an even dimensional vector space over a field K of characteristic 2
equipped with a non-degenerate alternating bilinear form f. The divided power
algebra DV is considered as a complex with differential defined from f. We
examine the cohomology modules as representations of the corresponding
symplectic group.

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