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SYMMETRY CLASSES OF TENSORS ASSOCIATED TO NONABELIAN GROUPS OF ORDER $pq$

Part of: Basic linear algebra Representation theory of groups

Published online by Cambridge University Press:  16 March 2016

KIJTI RODTES
KIJTI RODTES*
Affiliation:
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand email [email protected]
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Abstract

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Necessary and sufficient conditions for the existence of an orthogonal $\ast$-basis of symmetry classes of tensors associated to nonabelian groups of order $pq$ are provided by using vanishing sums of roots of unity.

Keywords

symmetry classes of tensorsorthogonal basisnonabelian groups of order pqvanishing sums of roots of unity

MSC classification

Primary: 20C30: Representations of finite symmetric groups
Secondary: 15A69: Multilinear algebra, tensor products
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 36 - 42
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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