Quelques propriétés des représentations induites principales illustrées par les groupes ponctuels cristallographiques

Masmoudi, Khalil; Billiet, Y.

doi:10.1107/s0108767388008876

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~ V~= V~; Vi~ • Bg V~:a (El1

Building the Ordered Partition1

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1990

1991

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Cited by 2 publications

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“…* For group character tables not given in the present paper, see for instance Atkins, Child & Phillips (1970). (Masmoudi & Billiet, 1989 …”

Section: ~ V~= V~; Vi~ • Bg V~:a (Elmentioning

confidence: 99%

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Complete reduction bases for the principal induced representations of the crystallographic point groups

Masmoudi¹,

Billiet²

1990

Acta Cryst Sect A

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“…* For group character tables not given in the present paper, see for instance Atkins, Child & Phillips (1970). (Masmoudi & Billiet, 1989 …”

Section: ~ V~= V~; Vi~ • Bg V~:a (Elmentioning

confidence: 99%

“…Litvin (1982), Berenson, Kotzev & Litvin (1982), Litvin, Kotzev & Birman (1982), Masmoudi & Billiet (1989) have given numerous applications to crystallography.…”

Section: Building the Ordered Partitionmentioning

confidence: 99%

Complete reduction bases for the principal induced representations of the crystallographic point groups

Masmoudi¹,

Billiet²

1990

Acta Cryst Sect A

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Quasiregular representations of space groups, application to the determination of symmetry change in phase transitions

Masmoudi

1991

Phase Transitions

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A reduction formula of a quasiregular, or principal induced, representation of a space group is mathematically established. This reduction, with other properties of quasiregular representations is used to suggest a systematic and easy method determining the possible symmetry changes in a phase transition. The method classifies the subgroups of a group by a "rank" criterion according to an irreducible representation of the group.

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Quelques propriétés des représentations induites principales illustrées par les groupes ponctuels cristallographiques

Cited by 2 publications

References 2 publications

Complete reduction bases for the principal induced representations of the crystallographic point groups

Complete reduction bases for the principal induced representations of the crystallographic point groups

Quasiregular representations of space groups, application to the determination of symmetry change in phase transitions

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