𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lie-Admissible Algebras and Kac–Moody Algebras

✍ Scribed by Kyeonghoon Jeong; Seok-Jin Kang; Hyeonmi Lee

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
234 KB
Volume
197
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we determine all third power-associative Lie-admissible algebras whose commutator algebras are Kac᎐Moody algebras.

📜 SIMILAR VOLUMES

Invariants of Real Forms of Affine Kac-M
Invariants of Real Forms of Affine Kac-Moody Lie Algebras
✍ Punita Batra 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 217 KB

The theory of Vogan diagrams, which are Dynkin diagrams with an overlay of certain additional information, allows one to give a rapid classification of finitedimensional real semisimple Lie algebras and to make use of this classification in practice. This paper develops a corresponding theory of Vog

Vogan Diagrams of Real Forms of Affine K
Vogan Diagrams of Real Forms of Affine Kac–Moody Lie Algebras
✍ Punita Batra 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 155 KB

A Vogan diagram is actually a Dynkin diagram with some additional structure. This paper develops theory of Vogan diagrams for "almost compact" real forms of indecomposable nontwisted affine Kac-Moody Lie algebras. Here, the equivalence classes of Vogan diagrams are in one-one correspondence with the

On Lie-Admissible Algebras Whose Commuta
On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras
✍ K.I. Beidar; M.A. Chebotar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta

Weyl Groups of Some Kac–Moody Algebras
Weyl Groups of Some Kac–Moody Algebras
✍ Kaiming Zhao; Caihui Lu; Chang-an Liu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 160 KB

In this paper we prove a lemma about the Weyl groups of Kac᎐Moody algebras and decompose the Weyl group of some Kac᎐Moody algebras into a semi-direct product of two subgroups which are Coxeter groups.