DOAJ
Open Access
2008
$q,t$-Fuß-Catalan numbers for complex reflection groups
Christian Stump
Abstrak
In type $A$, the $q,t$-Fuß-Catalan numbers $\mathrm{Cat}_n^{(m)}(q,t)$ can be defined as a bigraded Hilbert series of a module associated to the symmetric group $\mathcal{S}_n$. We generalize this construction to (finite) complex reflection groups and exhibit some nice conjectured algebraic and combinatorial properties of these polynomials in $q$ and $t$. Finally, we present an idea how these polynomials could be related to some graded Hilbert series of modules arising in the context of rational Cherednik algebras. This is work in progress.
Topik & Kata Kunci
Penulis (1)
C
Christian Stump
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2008
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.3639
- Akses
- Open Access ✓