1969Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Unitary representations of the unitary group

D. B. Hunter

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Abstract

It is well known that every representation of the group Un of unitary matrices of order n × n is equivalent to a unitary representation (see e.g. Little-wood (6), ch. XI). Our object in the present paper is to discuss some properties of those representations, and to construct a specific unitary representation.

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What this paper is about

It is well known that every representation of the group Un of unitary matrices of order n × n is equivalent to a unitary representation (see e.g. Little-wood (6), ch. XI). Our object in the present paper is to discuss some properties of those representations, and to construct a specific unitary representation.

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Available abstract

It is well known that every representation of the group Un of unitary matrices of order n × n is equivalent to a unitary representation (see e.g. Little-wood (6), ch. XI). Our object in the present paper is to discuss some properties of those representations, and to construct a specific unitary representation.

Key concepts: Unitary state, Unitary representation, Representation (politics), Induced representation, Projective unitary group, Group (periodic table), Unitary group, Mathematics

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