✳flâneur — a map of the web's best reading

[0809.3683] Parking functions and vertex operators

arxiv.org · 579 words · saved by 1 readers

We introduce several associative algebras and series of vector spaces associated to these algebras. Using lattice vertex operators, we obtain dimension and character formulae for these spaces. In particular, we a series of representations of symmetric groups which turn out to be isomorphic to parking function modules. We also construct series of vector spaces whose dimensions are Catalan numbers and Fuss--Catalan numbers respectively. Conjecturally, these spaces are related to spaces of global sections of vector bundles on (zero fibres of) Hilbert schemes and representations of rational Cherednik algebras.

[0809.3683] Parking functions and vertex operators --> Mathematics > Representation Theory arXiv:0809.3683 (math) [Submitted on 22 Sep 2008 ( v1 ), last revised 9 Dec 2008 (this version, v2)] Title: Parking functions and vertex operators Authors: Vladimir Dotsenko View a PDF of the paper titled Parking functions and vertex operators, by Vladimir Dotsenko View PDF Abstract: We introduce several associative algebras and series of vector spaces associated to these algebras. Using lattice vertex operators, we obtain dimension and character formulae for these spaces. In particular, we a series of r

Explore this link on the map →

saved by

related reading