Geodesic
Grothendieck rings of basic classical Lie superalgebras
Alexander N. Sergeev1 ; Alexander P. Veselov2
1 Loughborough University<br/>Loughborough, UK<br/><br/>and<br/><br/> Saratov State University<br/>Saratov<br/> Russia
2 Loughborough University<br/>Loughborough, UK <br/<br/>and<br/><br/>Moscow State University<br/>Moscow<br/> Russia
Annals of mathematics, Tome 173 (2011) no. 2, pp. 663-703.

Voir la notice de l'article provenant de la source Annals of Mathematics website

The Grothendieck rings of finite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalized root systems. We show that they can be interpreted as the subrings in the weight group rings invariant under the action of certain groupoids called super Weyl groupoids.
DOI : 10.4007/annals.2011.173.2.2

Alexander N. Sergeev 1 ; Alexander P. Veselov 2

1 Loughborough University<br/>Loughborough, UK<br/><br/>and<br/><br/> Saratov State University<br/>Saratov<br/> Russia
2 Loughborough University<br/>Loughborough, UK <br/<br/>and<br/><br/>Moscow State University<br/>Moscow<br/> Russia 
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Alexander N. Sergeev; Alexander P. Veselov. Grothendieck rings of basic classical Lie superalgebras. Annals of mathematics, Tome 173 (2011) no. 2, pp. 663-703. doi : 10.4007/annals.2011.173.2.2. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.2/

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