36 citations · 153 across the 21 of their papers we have counts for
9 papers · 1 filter
Schur -functions and the Capelli eigenvalue problem for the Lie superalgebra
Alexander Alldridge, Siddhartha Sahi, Hadi Salmasian
Let , where denotes the queer Lie superalgebra. The associative superalgebra of type has a left and ri…
Non-Euclidean Fourier inversion on super-hyperbolic space
Alexander Alldridge, Wolfgang Palzer
For the super-hyperbolic space in any dimension, we introduce the non-Euclidean Helgason--Fourier transform. We prove an inversion formula exhibiting residue contributions at the p…
Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspaces
Alexander Alldridge, Wolfgang Palzer
We compute the Harish-Chandra -function for a generic class of rank-one purely non-compact Riemannian symmetric superspaces in terms of Euler functions, proving that…
Fréchet globalisations of Harish-Chandra supermodules
Alexander Alldridge
For any Lie supergroup whose underlying Lie group is reductive, we prove an extension of the Casselman-Wallach globalisation theorem: There is an equivalence between the category o…
Spherical representations of Lie supergroups
Alexander Alldridge, Sebastian Schmittner
The classical Cartan-Helgason theorem characterises finite-dimensional spherical representations of reductive Lie groups in terms of their highest weights. We generalise the theore…
Superbosonisation via Riesz superdistributions
Alexander Alldridge, Zain Shaikh
The superbosonisation identity of Littelmann-Sommers-Zirnbauer is a new tool to study universality of random matrix ensembles via supersymmetry, which is applicable to non-Gaussian…