A model theoretical analysis on suitable representations of the universal enveloping algebra

Sonia L'Innocente (Camerino)

Frank Adams 1,

The main aim of this report is to describe the model theoretical approach of the study of the representation theory of the universal enveloping algebra U(sl(2,k)) of the Lie algebra sl(2,k) of all 2x2 traceless matrices with coefficients in a algebraically closed field of char 0.

A possible sketch of the generalization to the universal enveloping algebra of any semisimple Lie algebra will be presented.
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