𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructions of the Weil representations of certain simple Lie algebras

✍ Scribed by A. B. Goncharov

Publisher
Springer US
Year
1982
Tongue
English
Weight
260 KB
Volume
16
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Explicit Constructions of the Fundamenta
Explicit Constructions of the Fundamental Representations of the Symplectic Lie Algebras
✍ Robert G. Donnelly πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 237 KB

We give two constructions for each fundamental representation of sp 2 n, ‫ރ‬ . We also present quantum versions of these constructions. These are explicit in the sense of the Gelfand᎐Tsetlin constructions of the irreducible representations of Ε½ . Ε½ . gl n, ‫ރ‬ : we explicitly specify the matrix elem

Constructing representations of split se
Constructing representations of split semisimple Lie algebras
✍ W.A. de Graaf πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 183 KB

We describe an algorithm for constructing irreducible representations of split semisimple Lie algebras in characteristic 0. The algorithm calculates a Gr obner basis of a certain left ideal in a universal enveloping algebra. It is shown that this algorithm runs in polynomial time if the Lie algebra

Computing dimensions of irreducible repr
Computing dimensions of irreducible representations of simple lie algebras
✍ A.K. Bose πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 273 KB

We present a combinatorial algorithm for computing dimensions of irreducible representations of all nine types of simple Lie algebras over complexes. We implemented it on a programmable desk calculator. In conclusion some physical applications are discussed. ## Various formulas have been given [1-3