10 citations · 47 across the 14 of their papers we have counts for
17 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…
The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals
Jacopo Gandini, Andrea Maffei
Let be a simple algebraic group and a parabolic subgroup of with abelian unipotent radical , and let be a Borel subgroup of contained in P. Let $\mathfrak{…
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…
Spherical nilpotent orbits and abelian subalgebras in isotropy representations
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Let be a simply connected semisimple algebraic group with Lie algebra , let be the symmetric subgroup defined by an algebraic involution and le…
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…
Standard monomial theory for wonderful varieties
Paolo Bravi, Rocco Chirivì, Jacopo Gandini +1
A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to…
Orbits of strongly solvable spherical subgroups on the flag variety
Jacopo Gandini, Guido Pezzini
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we c…
Projective normality of model varieties and related results
Paolo Bravi, Jacopo Gandini, Andrea Maffei
We prove that the multiplication of sections of globally generated line bundles on a model wonderful variety M of simply connected type is always surjective. This follows by a gene…
Normality and smoothness of simple linear group compactifications
Jacopo Gandini, Alessandro Ruzzi
If G is a complex semisimple algebraic group, we characterize the normality and the smoothness of its simple linear compactifications, namely those equivariant GxG-compactification…
Simple linear compactifications of odd orthogonal groups
Jacopo Gandini
We classify the simple linear compactifications of SO(2r+1), namely those compactifications with a unique closed orbit which are obtained by taking the closure of the SO(2r+1)xSO(2…
Normality and non-normality of group compactifications in simple projective spaces
Paolo Bravi, Jacopo Gandini, Andrea Maffei +1
If is a complex simply connected semisimple algebraic group and if is a dominant weight, we consider the compactification in the projectivisation of $\End(V(λ))$ obta…
Spherical orbit closures in simple projective spaces and their normalizations
Jacopo Gandini
Let G be a simply connected semisimple algebraic group over an algebraically closed field k of characteristic 0 and let V be a rational simple G-module of finite dimension. If G/H…