Counting absolutely cuspidals for quivers
bozec, tristan ; Schiffmann, O.
HAL, hal-01709066 / Harvested from HAL
Text on HAL
For an arbitrary quiver Q = (I, Ω) and dimension vector d ∈ N I we define the dimension of absolutely cuspidal functions on the moduli stacks of representations of dimension d of a quiver Q over a finite field Fq, and prove that it is a polynomial in q, which we conjecture to be positive and integral. We obtain a closed formula for these dimensions of spaces of cuspidals for totally negative quivers.
Publié le : 2018-07-04
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-01709066,
     author = {bozec, tristan and Schiffmann, O.},
     title = {Counting absolutely cuspidals for quivers},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01709066}
}

bozec, tristan; Schiffmann, O. Counting absolutely cuspidals for quivers. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01709066/