𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Zakharov-Shabat dressing method and the representation theory of the semisimple Lie algebras

✍ Scribed by V.S. Gerdjikov

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
388 KB
Volume
126
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Generalized Restricted Lie Algebras and
Generalized Restricted Lie Algebras and Representations of the Zassenhaus Algebra
✍ Bin Shu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 309 KB

Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with

On the Surjectivity of the Exponential F
On the Surjectivity of the Exponential Function of Complex Algebraic, Complex Semisimple, and Complex Splittable Lie Groups
✍ Michael WΓΌstner πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 166 KB

The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L

Narrow Lie Algebras: A Coclass Theory an
Narrow Lie Algebras: A Coclass Theory and a Characterization of the Witt Algebra
✍ Aner Shalev; Efim I. Zelmanov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 396 KB

In this paper we examine some narrowness conditions for Lie algebras over a field F of characteristic zero. In particular we show that the natural analogs of the main coclass conjectures for p-groups hold in the context of ‫-ήŽβ€¬graded Lie algebras L which are generated by their first homogeneous comp