๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Introduction to Co-split Lie Algebras

โœ Scribed by Limeng Xia; Naihong Hu


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
259 KB
Volume
14
Category
Article
ISSN
1386-923X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Integrable Roots in Split Graded Lie Alg
โœ Karl-Hermann Neeb ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

A Lie algebra is said to be split graded if it is graded by a torsion free abelian group Q in such a way that the subalgebra 0 is abelian and the operators ad 0 are diagonalized by the grading. The elements of Q \ 0 with ฮฑ = 0 are called roots and a root ฮฑ is said to be integrable if there are root

Constructing representations of split se
โœ W.A. de Graaf ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

The Structure of Locally Finite Split Li
โœ Nina Stumme ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + ฮฑโˆˆ ฮฑ , then the roots of can be classified into different types: a root ฮฑ โˆˆ is said to be of nilpotent type if all subalgebras x ฮฑ x -ฮฑ = span x ฮฑ x -ฮฑ x ฮฑ x -ฮฑ for x ยฑฮฑ โˆˆ ยฑฮฑ are nilpotent, and of simple type

Symmetric (co)homologies of Lie algebras
โœ A.S. Dzhumadilโ€™daev ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 317 KB

Cohomologies of Lie algebras are usually calculated using the Chevalley-Eilenberg cochain complex of skew-symmetric forms . We consider two cochain complexes consisting of forms with some symmetric propert ies. First. cocha ins C' (L) are symmetric in the last 2 argument s, skew-symmetric in the oth