11 citations · 57 across the 18 of their papers we have counts for
19 papers
The generalized Mukai conjecture for spherical varieties with a reductive general isotropy group
Paolo Bravi, Guido Pezzini
In the case of spherical varieties with reductive general isotropy group we prove a conjecture of G. Gagliardi and J. Hofscheier, which implies the generalized Mukai conjecture of…
Some combinatorial properties of skew Jack symmetric functions
Paolo Bravi, Jacopo Gandini
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a couple of identities showing that skew Jack symmetric functions are semi-invariant u…
On the multiplication of spherical functions of reductive spherical pairs of type A
Paolo Bravi, Jacopo Gandini
Let G be a simple complex algebraic group and let K be a reductive subgroup of G such that the coordinate ring of G/K is a multiplicity free G-module. We consider the G-algebra str…
Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases
Paolo Bravi, Jacopo Gandini
Given an exceptional simple complex algebraic group G and a symmetric pair (G, K), we study the spherical nilpotent K-orbit closures in the isotropy representation of K. We show th…
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases
Paolo Bravi, Jacopo Gandini
Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy repre…
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
Paolo Bravi, Rocco Chirivì, Jacopo Gandini
Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy…