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Quantizations of the Witt algebra and of simple Lie algebras in characteristic p

Cyril Grunspan
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Abstract

We first quantize the Witt algebra in characteristic 0. Then, we consider the reduction modulo p of our formulas. This gives polynomial deformations of the restricted envelopping algebra of the Witt algebra. By this way, we get new families of noncommutative noncocommutative Hopf algebras of dimension p^p in char p.

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Cyril Grunspan. 2003-11-12. Quantizations of the Witt algebra and of simple Lie algebras in characteristic p. https://arxiv.org/abs/math/0311197

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