The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...

We study blocks of category O for the Cherednik algebra having the property that every irreducible module in the block admits a BGG resolution, and as a consequence prove a character formula conjectured by Oblomkov-Yun.

The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in ...

The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in ...

The goal of this work is describe the nite dimensional representationsof semisimple Lie algebras g over C, where g also has finite dimension. Initially, is necessary the study of Cartan subalgebras, together of root systems, ...

One may construct, for any function on the integers, an irreducible module of level zero for affine sl(2) using the values of the function as structure constants. The modules constructed using exponential-polynomial functions ...

This research is carried out within the scope of the French discourse analysis (according to the discipline's current guidelines, discussed, among others, in MAINGUENEAU, 2015) about the term “transparency”, which we ...