10 citations · 47 across the 14 of their papers we have counts for
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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…
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…
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…