๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Semidirect sums of Lie algebras

โœ Scribed by A. L. Onishchik; Yu. B. Khakimdzhanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
400 KB
Volume
18
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Integrable decomposition of a hierarchy
โœ Lin Luo; Engui Fan ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

Staring from a new spectral problem, a hierarchy of the soliton equations is derived. It is shown that the associated hierarchies are infinite-dimensional integrable Hamiltonian systems. By the procedure of nonlinearization of the Lax pairs, the integrable decomposition of the whole soliton hierarch

Weight sum formulae in Lie algebra repre
โœ John M. Burns; Michael J. Clancy ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

Many formulae in the representation theory of Lie algebras involve sums of weights, the most celebrated being that of H. Weyl [Math. Z. 24 (1926) 377-395]. In this note we will derive some elementary, but very useful, formulae for summing subsets of weights of a Lie algebra representation. We also g