✦ LIBER ✦

Categories of Jordan Structures and Graded Lie Algebras

✍ Scribed by Caveny, D. M.; Smirnov, O. N.

Book ID: 121323614
Publisher: Taylor and Francis Group
Year: 2013
Tongue: English
Weight: 200 KB
Volume: 42
Category: Article
ISSN: 0092-7872
DOI: 10.1080/00927872.2012.709565

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Identities on Lie or Jordan-group-graded

Identities on Lie or Jordan-group-graded associative algebras

✍ Plyley, Chris; Riley, David 📂 Article 📅 2013 🏛 Elsevier Science 🌐 English ⚖ 196 KB

SIMPLE, PRIMITIVE, AND STRONGLY PRIME JO

SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS

✍ García, Esther 📂 Article 📅 2005 🏛 Taylor and Francis Group 🌐 English ⚖ 174 KB

Jordan–Lie Super Algebra and Jordan–Lie

Jordan–Lie Super Algebra and Jordan–Lie Triple System

✍ Susumu Okubo; Noriaki Kamiya 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 269 KB

We introduce notions of Jordan᎐Lie super algebras and Jordan᎐Lie triple systems as well as doubly graded Lie-super algebras. They are intimately related to both Lie and Jordan super algebras as well as antiassociative algebra.

Speciality of Lie–Jordan Algebras

✍ A.N Grishkov; Ivan P Shestakov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Simple and Prime Graded Jordan Algebras

✍ Consuelo Martinez; E. Zelmanov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

Root Categories and Simple Lie Algebras

✍ Liangang Peng; Jie Xiao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 412 KB

By using the T 2 -orbit category of the derived category of a hereditary algebra, which is proved to be a triangulated category too, we give a complete realization of a simple Lie algebra. This is a global version of Ringel's work for the positive parts of simple Lie algebras. In this realization, t