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

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

2003-11-12

arxiv.org/abs/math/0311197v1

Mathematics

Quantum Algebra

5 pages

Scientific paper

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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