On the Affine and Projective Commutative (m + k, m)-Groups

On the Affine and Projective Commutative (m + k, m)-Groups

In this paper we present a complete classification, up to isomorphism, of affine and projective fully commutative (m+k,m)-groups, defined on subsets of the set of complex numbers C. The classification is via characteristic vectors and their associated complex curves (real surfaces).

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Veröffentlicht in:Journal of algebra 2001-06, Vol.240 (1), p.338-365
Hauptverfasser: Trenčevski, Kostadin, Dimovski, Dončo
Format: Artikel
Sprache:eng
Schlagworte:
automorphism
characteristic polynomial
characteristic vector
complex curve
fully commutative vector valued groups
Lie group
real surfaces
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Beschreibung
Zusammenfassung:In this paper we present a complete classification, up to isomorphism, of affine and projective fully commutative (m+k,m)-groups, defined on subsets of the set of complex numbers C. The classification is via characteristic vectors and their associated complex curves (real surfaces).
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.2001.8735