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math.RT2021
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…
math.RT2021
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…