𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simple algebras and multiplicity types

✍ Scribed by Libor Polák

Book ID
112760100
Publisher
Springer
Year
1980
Tongue
English
Weight
204 KB
Volume
11
Category
Article
ISSN
0002-5240

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Level Zero Types and Hecke Algebras for
Level Zero Types and Hecke Algebras for Local Central Simple Algebras
✍ Martin Grabitz; Allan J Silberger; Ernst-Wilhelm Zink 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 296 KB

Let D be a central division algebra and A × =GL m (D) the unit group of a central simple algebra over a p-adic field F. The purpose of this paper is to give types (in the sense of Bushnell and Kutzko) for all level zero Bernstein components of A × and to establish that the Hecke algebras associated

Simple algebras of Weyl type
Simple algebras of Weyl type
✍ Yucai Su; Kaiming Zhao 📂 Article 📅 2001 🏛 SP Science China Press 🌐 English ⚖ 436 KB
Simple Lie Algebras of Witt Type
Simple Lie Algebras of Witt Type
✍ D.S. Passman 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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
Simple Lie Algebras of Special Type
✍ Jeffrey Bergen; D.S Passman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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 ⊗ K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A → A called the divergence and i