On the Divided Power Algebra and the Symplectic Group in Chracteristic 2
Representation Theory
2022-06-17 v1
Abstract
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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Cite
@article{arxiv.math/0606074,
title = {On the Divided Power Algebra and the Symplectic Group in Chracteristic 2},
author = {Mihalis Maliakas},
journal= {arXiv preprint arXiv:math/0606074},
year = {2022}
}
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9 pages