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- W3100676801 abstract "The algebras of the title are infinite-dimensional graded Lie algebras $L= bigoplus_{i=1}^{infty}L_i$, over a field of positive characteristic $p$, which are generated by an element of degree $1$ and an element of degree $p$, and satisfy $[L_i,L_1]=L_{i+1}$ for $ige p$. %of maximal class in the sense that $L/L^i$ has dimension $i$ for all $i>1$. In case $p=2$ such algebras were classified by Caranti and Vaughan-Lee in 2003. We announce an extension of that classification to arbitrary prime characteristic, and prove several major steps in its proof." @default.
- W3100676801 created "2020-11-23" @default.
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- W3100676801 date "2020-11-17" @default.
- W3100676801 modified "2023-09-27" @default.
- W3100676801 title "Graded Lie algebras of maximal class of type $p$" @default.
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