10 papers
Fully commutative elements and spherical nilpotent orbits
Jacopo Gandini
Let g be a simple Lie algebra, with fixed Borel subalgebra b and with Weyl group W. Expanding on previous work of Fan and Stembridge in the simply laced case, this note aims to stu…
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…
Nilpotent orbits of height 2 and involutions in the affine Weyl group
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Let G be an almost simple group over an algebraically closed field k of characteristic zero, let g be its Lie algebra and let B be a Borel subgroup of G. Then B acts with finitely…
The Bruhat order on abelian ideals of Borel subalgebras
Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria +1
Let G be a quasi simple algebraic group over an algebraically closed field k whose characteristic is not very bad for G, and let B be a Borel subgroup of G with Lie algebra b. Give…
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…