Extension of Elliott's projection technique to compact semisimple groups

M. Bouten; D. Haentjens; P. Van Leuven

doi:10.1016/0031-8914(74)90114-1

Extension of Elliott's projection technique to compact semisimple groups

M. Bouten, D. Haentjens, P. Van Leuven

Research output › peer-review

Abstract

The SU(4) ⊃ SU(2) ⊗ SU(2) projection technique introduced by Draayer, is simplified in that all basis states of an irreducible representation can be projected from only one 'intrinsic' state. Furthermore a general projection method for compact semisimple Lie groups is derived, )ontaining SU(3) ⊃ R(3) and SU(2) ⊗ SU(2) as particular cases.

Original language	English
Pages (from-to)	585-592
Number of pages	8
Journal	Physica
Volume	73
Issue number	3
DOIs	https://doi.org/10.1016/0031-8914(74)90114-1
State	Published - 1 May 1974

ASJC Scopus subject areas

General Engineering

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10.1016/0031-8914(74)90114-1

Cite this

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title = "Extension of Elliott's projection technique to compact semisimple groups",

abstract = "The SU(4) ⊃ SU(2) ⊗ SU(2) projection technique introduced by Draayer, is simplified in that all basis states of an irreducible representation can be projected from only one 'intrinsic' state. Furthermore a general projection method for compact semisimple Lie groups is derived, )ontaining SU(3) ⊃ R(3) and SU(2) ⊗ SU(2) as particular cases.",

author = "M. Bouten and D. Haentjens and {Van Leuven}, P.",

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N2 - The SU(4) ⊃ SU(2) ⊗ SU(2) projection technique introduced by Draayer, is simplified in that all basis states of an irreducible representation can be projected from only one 'intrinsic' state. Furthermore a general projection method for compact semisimple Lie groups is derived, )ontaining SU(3) ⊃ R(3) and SU(2) ⊗ SU(2) as particular cases.

AB - The SU(4) ⊃ SU(2) ⊗ SU(2) projection technique introduced by Draayer, is simplified in that all basis states of an irreducible representation can be projected from only one 'intrinsic' state. Furthermore a general projection method for compact semisimple Lie groups is derived, )ontaining SU(3) ⊃ R(3) and SU(2) ⊗ SU(2) as particular cases.

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