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Representations in nilpotent groups

✍ Scribed by Daniel M. Kan; Edward Y. Miller


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
906 KB
Volume
13
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES


Nilpotent Representations
✍ Lieven Le Bruyn πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 312 KB

The Hesselink stratification is studied of the nullcone of m-tuples of n = n matrices. An algorithm is given to determine for given m and n the non-empty strata. Further, connections with moduli spaces of quiver representations are given.

Constructing Faithful Representations of
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We formulate an algorithm for calculating a representation by unipotent matrices over the integers of a finitely-generated torsion-free nilpotent group given by a polycyclic presentation. The algorithm works along a polycyclic series of the group, each step extending a representation of an element o

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✍ Eberhard Kaniuth πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 141 KB

Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent

Spectral Study on Operators Linked to Re
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Nous donnons un encadrement du nombre \(N(\lambda)\) de valeurs propres \(<\lambda\) pour l'image du sous-laplacien d'une algèbre nilpotente stratifiée par une représentation unitaire irréductible. Cet encadrement est obtenu en fonction du volume pour la mesure canonique d'une partie de l'orbite coa