Nilpotent Representations
โ Scribed by Lieven Le Bruyn
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 312 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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
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
Nous donnons un encadrement du nombre \(N(\lambda)\) de valeurs propres \(<\lambda\) pour l'image du sous-laplacien d'une algรจbre nilpotente stratifiรฉe par une reprรฉsentation unitaire irrรฉductible. Cet encadrement est obtenu en fonction du volume pour la mesure canonique d'une partie de l'orbite coa