36 citations · 153 across the 21 of their papers we have counts for
21 papers
Bulk-boundary correspondence for disordered free-fermion topological phases
Alexander Alldridge, Christopher Max, Martin R. Zirnbauer
Guided by the many-particle quantum theory of interacting systems, we develop a uniform classification scheme for topological phases of disordered gapped free fermions, encompassin…
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…
Superorbits
Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher
We study actions of Lie supergroups, in particular, the hitherto elusive notion of orbits through odd (or more general) points. Following categorical principles, we derive a concep…
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…