𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Composition Algebras over a Ring of Fractions

✍ Scribed by S. Pumplün


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
242 KB
Volume
187
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


Using some theorems on composition algebras over rings of genus zero and elementary results from algebraic geometry, all composition algebras over a ring of fractions related to the projective line over a field are enumerated and partly classified.


📜 SIMILAR VOLUMES


Composition Algebras over Rings of Fract
✍ S Pumplün 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 232 KB

Let k be a field of characteristic not two, let f x , x gk x , x be an h 0 1 0 1 irreducible homogeneous polynomial and denote the ring of elements of degree w x w x zero in the homogeneous localization k x , x by k x , x . For deg f s 3 it 0 1 f 0 1 Žf . h h h w x is proved that the composition alg

The Ring of Fractions of a Jordan Algebr
✍ C Martı́nez 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 128 KB

We derive a necessary and sufficient Ore type condition for a Jordan algebra to have a ring of fractions.

Fields of Fractions of Quantum Solvable
✍ A Panov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 111 KB

We introduce the notion of pure Q-solvable algebra. The quantum matrices, Ž . quantum Weyl algebra, U n are the examples. It is proved that the skew field of q fractions of a pure Q-solvable algebra R is isomorphic to the skew field of twisted rational functions. This is a quantum version of the Gel

Continued Fractions for Algebraic Formal
✍ Alain Lasjaunias 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 115 KB

We consider the continued fraction expansion of certain algebraic formal power series when the base field is finite. We are concerned with the property of the sequence of partial quotients being bounded or unbounded. We formalize the approach introduced by Baum and Sweet (1976), which applies to the

Automorphisms of Certain Lie Algebras of
✍ You'an Cao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 187 KB

Let R be an arbitrary commutative ring with identity. Denote by t the Lie algebra over R consisting of all upper triangular n by n matrices over R and let b be the Lie subalgebra of t consisting of all matrices of trace 0. The aim of this paper is to give an explicit description of the automorphism