Polynomidentitäten und Darstellungen von Gruppen

G. Schlichting

doi:10.1007/BF01540850

Polynomidentitäten und Darstellungen von Gruppen

Translated title of the contribution: Polynomial identities and group representations

G. Schlichting

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Abstract

Generalizing results in [1], [3], [5], and [7] it is shown that the algebra generated by the quasi-regular representation λ of a discrete group G on l² (G/H) satisfies a standard polynomial identity if and only if λ (G) contains an abelian normal subgroup of finite index. An analogon for topological groups is also proved.

Translated title of the contribution	Polynomial identities and group representations
Original language	German
Pages (from-to)	311-313
Number of pages	3
Journal	Monatshefte fur Mathematik
Volume	90
Issue number	4
DOIs	https://doi.org/10.1007/BF01540850
State	Published - Dec 1980

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abstract = "Generalizing results in [1], [3], [5], and [7] it is shown that the algebra generated by the quasi-regular representation λ of a discrete group G on l2 (G/H) satisfies a standard polynomial identity if and only if λ (G) contains an abelian normal subgroup of finite index. An analogon for topological groups is also proved.",

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AB - Generalizing results in [1], [3], [5], and [7] it is shown that the algebra generated by the quasi-regular representation λ of a discrete group G on l2 (G/H) satisfies a standard polynomial identity if and only if λ (G) contains an abelian normal subgroup of finite index. An analogon for topological groups is also proved.

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Polynomidentitäten und Darstellungen von Gruppen

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