We present an efficient algorithm that decomposes a monomial representation of a solvable group G into its irreducible components. In contradistinction to other approaches, we also compute the decomposition matrix A in the form of a product of highly structured, sparse matrices. This factorization p
Analysis of some monomial representations of exponential solvable lie groups
β Scribed by A. Baklouti; H. Hamrouni; F. Khlif
- Book ID
- 110210516
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 577 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1061-9208
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study holomorphically induced representations r of Lie groups G=exp g from weak polarizations h at f Β₯ g\*. When G is a connected and simply connected Lie group whose Lie algebra is a normal j-algebra, we obtain a sufficient condition for non-vanishing of r and the decomposition of r into irreduc
For any connected Lie group G, we introduce the notion of exponential radical Exp G that is the set of all strictly exponentially distorted elements of G. In case G is a connected simply-connected solvable Lie group, we prove that Exp G is a connected normal Lie subgroup in G and the exponential rad