𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Primitive Jordan Algebras

✍ Scribed by J.A. Anquela; F. Montaner


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
478 KB
Volume
163
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we give a complete description of primitive Jordan algebras over fields of characteristic not two in the spirit of E. I. Zel'manov's classification of prime Jordan algebras (1983, Siberian Math. J. 24, No. 1, 73-85). We also prove that associative tight envelopes of special primitive Jordan algebras are also primitive. 1994 Academic Press. Inc


πŸ“œ SIMILAR VOLUMES


Primitive Triangular UHF Algebras
✍ T.D Hudson; E.G Katsoulis πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 415 KB

We prove that a large class of triangular UHF algebras are primitive. We use two avenues to obtain our results: a direct approach in which we explicitly construct a faithful, algebraically irreducible representation of the algebra on a separable Hilbert space, as well as an indirect, algebraic appro

Primitivity in Jordan Systems is Ubiquit
✍ JosΓ© A. Anquela; Teresa CortΓ©s πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 232 KB

Ε½ q y . The main result of the paper asserts that if a Jordan pair X . -primitive at some 0 / b g V , then it is " -primitive at any 0 / b g V . Also, if a Jordan triple system T is primitive at some 0 / b g T, then it is primitive at any 0 / b X g T. As a tool, similar results concerning one-side

Primitive Jordan Pairs and Triple System
✍ JosΓ© A. Anquela; Teresa ContΓ©s πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 393 KB

In this paper we give a characterization of primitivity of Jordan pairs and triple systems in terms of their local algebras. As a consequence of that local characterization we extend to Jordan pairs and triple systems most of the known results about primitive Jordan algebras. In particular, we descr