A counterpart of the Verlinde algebra for the small quantum group
Lachowska, Anna
Duke Math. J., Tome 120 (2003) no. 3, p. 37-60 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $\overline {\Pr}$ denote the ideal spanned by the characters of projective modules in the Grothendieck ring of the category $\overline {\mathscr{C}\sb f}$ of finite dimensional modules over the small quantum group $U\sp {\rm fin}\sb q(\mathfrak {g})$. We show that $\overline {\Pr}$ admits a description completely parallel to that of the Verlinde algebra of the fusion category (see [AP]), with the character of the Steinberg module playing the role of the identity.
Publié le : 2003-05-15
Classification:  17B37,  81R50 
@article{1082744554,
     author = {Lachowska, Anna},
     title = {A counterpart of the Verlinde algebra for the small quantum group},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 37-60},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082744554}
}

Lachowska, Anna. A counterpart of the Verlinde algebra for the small quantum group. Duke Math. J., Tome 120 (2003) no. 3, pp.  37-60. http://gdmltest.u-ga.fr/item/1082744554/