5 papers
Multiplicity-free representations and coisotropic actions of certain nilpotent Lie groups over quasi-symmetric Siegel domains
Koichi Arashi
We study multiplicity-free representations of Lie groups over a quasi-symmetric Siegel domain, with a focus on certain two-step nilpotent Lie groups. We provide necessary and suffi…
Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III
Koichi Arashi
The aim of this paper is to study the classification of generic coherent state representations of a Lie group and its connection to the structure theory of Kähler algebras. The gro…
Multiplicity-free representations of certain nilpotent Lie groups over Siegel domains of the second kind
Koichi Arashi
We investigate the multiplicity-freeness property for the holomorphic multiplier representations of affine transformation groups of a Siegel domain of the second kind. We deal with…
Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone
K. Arashi
We classify all irreducible coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone.
Holomorphic multiplier representations for bounded homogeneous domains
K. Arashi
In this paper, we study the unitarizations in the spaces of holomorphic sections of equivariant holomorphic line bundles over a bounded homogeneous domain under the action of a con…