✦ LIBER ✦

Some applications of Jordan norms to involutorial simple associative algebras

✍ Scribed by N Jacobson

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 856 KB
Volume: 48
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(83)90085-3

No coin nor oath required. For personal study only.

✦ Synopsis

The following result on reduced norms of central simple associative algebras has been proved by the author: THEOREM.

Let S/ and .5? be central simple associative algebras of the same degree. Then the reduced norm forms on ,d and 9 are equivalent if and only if&' and .58 are either isomorphic or anti-isomorphic.

📜 SIMILAR VOLUMES

Bimodule structure of some simple jordan

Bimodule structure of some simple jordan algebras with respect to associative frobenius subalgebras

✍ S. Yu. Vasilovskii 📂 Article 📅 1988 🏛 Springer US 🌐 English ⚖ 870 KB

Special prehomogeneous vector spaces ass

Special prehomogeneous vector spaces associated to F4, E6, E7, E8 and simple Jordan algebras of rank 3

✍ Jean-Louis Clerc 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 244 KB

A simple complex Lie algebra has a natural grading g = g -2 ⊕g -1 ⊕g 0 ⊕g 1 ⊕g 2 associated to the highest root. It is related to the quaternionic real form of g. The real rank of the associated symmetric space is shown to be at most 4. When the rank is equal to 4 (i.e., g = A n , C n , G 2 ), the s