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Abstract
We study the truncated shifted Yangian Yn,l(σ) over an algebraically closed field k of characteristic p > 0, which is known to be isomorphic to the finite Walgebra U(g, e) associated to a corresponding nilpotent element e ∈ g = glN (k). We obtain an explicit description of the centre of Yn,l(σ), showing that it is generated by its HarishChandra centre and its pcentre. We define Y [p] n,l (σ) to be the quotient of Yn,l(σ) by the ideal generated by the kernel of trivial character of its pcentre. Our main theorem states that Y [p] n,l (σ) is isomorphic to the restricted finite Walgebra U[p] (g, e). As a consequence we obtain an explicit presentation of this restricted Walgebra.
Original language  English 

Pages (fromto)  190–228 
Journal  Transactions of the American Mathematical Society 
Volume  8 
Early online date  26 Feb 2021 
DOIs  
Publication status  Published  2021 
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Dive into the research topics of 'Restricted shifted Yangians and restricted finite Walgebras'. Together they form a unique fingerprint.Projects
 1 Finished

Representation theory of modular Lie algebras and superalgebras
Engineering & Physical Science Research Council
1/07/18 → 31/12/22
Project: Research Councils