Multivariate diagonal coinvariant spaces for complex reflection groups

By François Bergeron. 2011

50 citations recorded by the source corpus.

Abstract For finite complex reflection groups, we consider the graded W -modules of diagonally harmonic polynomials in r sets of variables, and show that associated Hilbert series may be described in a global manner, independent of the value of r .

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/28c6a367e842fa4cfd92626673fbe6ef5222733f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Louis-François Préville-Ratelle
2. Jenny Wilson
3. François Bergeron
4. Benson Farb
5. Thomas Church
6. C. Damiani

In Geometry and Topology

1. Louis-François Préville-Ratelle
2. Jenny Wilson
3. François Bergeron
4. Benson Farb
5. Thomas Church
6. C. Damiani

In Mathematical Physics

1. Louis-François Préville-Ratelle
2. Jenny Wilson
3. François Bergeron
4. Benson Farb
5. Thomas Church
6. C. Damiani

Citations in the corpus

• FI_W-modules and stability criteria for representations of the classical Weyl groups (2013, background): “In 2011, Bergeron analyzed the algebras C(r)(n) associated to a general complex reflection group W = G(m, p, n) [Ber11].”
• Higher Trivariate Diagonal Harmonics via generalized Tamari Posets (2011, methodology): “Using observations and results of [2], we can calculate explicitly H (r) 3 (w;q) in full generality.”