Restricted cohomology of modular Witt algebras

Evans, Tyler; Fialowski, Alice; Penkava, Michael

doi:10.1090/proc/12863

Restricted cohomology of modular Witt algebras
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by Tyler J. Evans, Alice Fialowski and Michael Penkava

Proc. Amer. Math. Soc. 144 (2016), 1877-1886

DOI: https://doi.org/10.1090/proc/12863

Published electronically: November 30, 2015

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Abstract:

In this paper we compute the restricted $0$, $1$-, and $2$-dimensional cohomology groups with trivial coefficients of the modular Witt algebras $W$ for any prime $p>3$, and give explicit description of all one-dimensional restricted central extensions of $W$.

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