25 citations · 63 across the 32 of their papers we have counts for
6 papers · 1 filter
On the characterization of trace class representations and Schwartz operators
Gerrit van Dijk, Karl-Hermann Neeb, Hadi Salmasian +1
In this note we collect several characterizations of unitary representations of a finite dimensional Lie group which are trace class, i.e., for each compactl…
Integrable representations of root-graded Lie algebras
Nathan Manning, Erhard Neher, Hadi Salmasian
The essential feature of a root-graded Lie algebra L is the existence of a split semisimple subalgebra g with respect to which L is an integrable module with weights in a possibly…
-algebras and direct integral decomposition for Lie supergroups
Karl-Hermann Neeb, Hadi Salmasian
For every finite dimensional Lie supergroup , we define a -algebra , and show that there exists a canonical bijective c…
The Capelli problem for and the spectrum of invariant differential operators
Siddhartha Sahi, Hadi Salmasian
The "Capelli problem" for the symmetric pairs , and is closely rel…
Smoothing operators and -algebras for infinite dimensional Lie groups
Karl-Hermann Neeb, Hadi Salmasian, Christoph Zellner
A host algebra of a (possibly infinite dimensional) Lie group is a -algebra whose representations are in one-to-one correspondence with certain continuous unitary represen…
Minimal dimension of faithful representations for -groups
Mohammad Bardestani, Keivan Mallahi-Karai, Hadi Salmasian
For a group , we denote by , the smallest dimension of a faithful complex representation of . Let be a non-Archimedean local field with the ring of integ…