Charlotte Scott Centre for Algebra

A collaboration across countries and over several years has taken place between Sandro Mattarei and two of his former PhD students, Claudio Scarbolo and Valentina Iusa, resulting in a preprint which was recently submitted for publication: “Graded Lie algebras of maximal class of type *p*“. Valentina was the first Algebra PhD student of the Charlotte Scott Algebra Centre and worked under the joint supervision of Sandro and Evgeny Khukhro.

The preprint concerns infinite-dimensional Lie algebras, over a field of prime characteristic *p*, which are graded over the positive integers and have maximal class in the sense that the *k*th Lie power of *L* has codimension *k* in *L*, for all *k>*1. The *type p* qualifier refers to the fact that the focus is on those generated by an element of degree *p*, together with an element of degree 1. (The actual natural definition…

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