𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On representations of lie algebras for quantized hamiltonians

✍ Scribed by L.A-M. Hanna; M.E. Khalifa; S.S. Hassan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
529 KB
Volume
266
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

S&mitted hy Gorg IIeinig ABSTHACT We prove that the Lie algebra L' : [K,, K_] = SK,,, [K,,, K,] = *K,, where s is a real number, K,, is a Hermitian diagonal operator, and K+= K? has nontrivial matrix representations if and only if s > 0.

πŸ“œ SIMILAR VOLUMES

Irreducible Representations for Toroidal
Irreducible Representations for Toroidal Lie Algebras
✍ Stephen Berman; Yuly Billig πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 284 KB

In this work a large number of irreducible representations with finite dimensional weight spaces are constructed for some toroidal Lie algebras. To accomplish this we develop a general theory of β€«ήšβ€¬ n -graded Lie algebras with polynomial multiplication. We construct modules by the standard inducing

Leibniz Representations of Lie Algebras
Leibniz Representations of Lie Algebras
✍ Jean-Louis Loday; Teimuraz Pirashvili πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 163 KB

Leibniz representation of the Lie algebra α’„ is a vector space M equipped with Ε½ .w x w x two actions left and right ᎐, ᎐ : α’„ m M Βͺ M and ᎐, ᎐ : M m α’„ Βͺ M which satisfy the relations \* Partially supported by Grant INTAS-93-2618. 414

Representations of finitary Lie algebras
Representations of finitary Lie algebras
✍ H. Strade πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 201 KB

Let F be an algebraically closed field of characteristic = 2, 3, W a F -vector space and The faithful irreducible L-modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L-module. Suppose L ∩ fgl(W ) = (0), W is