# Holomorphic multiplier representations for bounded homogeneous domains

Source: [Holomorphic multiplier representations for bounded homogeneous domains](<https://www.sota2.com/research/paper/68fa5c461e209131ce9cf758>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:34:22.869Z

Authors: K. Arashi

Published: 2019-12-05T13:33:29.000Z

## Abstract

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 connected algebraic group acting transitively on the domain. We give a complete classification of unitary representations arising from such unitarizations. As an application, we classify all such unitary representations for a specific five-dimensional non-symmetric bounded homogeneous domain.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1912.02568>)

[PDF](<https://arxiv.org/pdf/1912.02568.pdf>)