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Nilpotent Lie Algebras of Classical Simple Type

✍ Scribed by G. Favre; L. Santharoubane


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
238 KB
Volume
202
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Simple Lie Algebras of Witt Type
✍ D.S. Passman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 149 KB

Let K be a field, let A be an associative, commutative K-algebra, and let ⌬ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m ⌬ s A⌬ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple

Simple Lie Algebras of Special Type
✍ Jeffrey Bergen; D.S Passman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 190 KB

Let K be a field, let A be an associative, commutative K-algebra, and let be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A = A βŠ— K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A β†’ A called the divergence and i

Enumeration of ad-Nilpotent b-Ideals for
✍ Christian Krattenthaler; Luigi Orsina; Paolo Papi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 331 KB

We provide explicit formulas for the number of ad-nilpotent ideals of a Borel subalgebra of a complex simple Lie algebra having fixed class of nilpotence.  2002 Elsevier Science (USA)

Simple Lie Color Algebras of Witt Type
✍ D.S Passman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 305 KB

Let K be a field and let : ⌫ = ⌫ Βͺ K β…· be a bicharacter defined on the multiplicative group ⌫. We suppose that A is a ⌫-graded, associative K-algebra that is color commutative with respect to . Furthermore, let ⌬ be a nonzero ⌫-graded, K-vector space of color derivations of A and suppose that ⌬ is a

Derivation-Simple Algebras and the Struc
✍ Yucai Su; Xiaoping Xu; Hechun Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 146 KB

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi

Nilpotent Lie Algebras of Maximal Rank a
✍ D. FernΓ‘ndez-Ternero; J. NΓΊΓ±ez-ValdΓ©s πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 271 KB

The first family of Kac-Moody Lie algebras studied are the simple Lie algebras. The study of nilpotent Lie algebras of maximal rank and of type A B C D was made by Favre and Santharoubane in [5]. Later, Agrafiotou and Tsagas studied these algebras, of types E 6 E 7 , and E 8 finding that there exist