We introduce an algebraic formalism, called "affine algebra", which corresponds to affine geometry over a field or ring K in a similar way as linear algebra corresponds to affine geometry with respect to a fixed base point. In a second step, we describe projective geometry over K by a similar formal
A linear-algebra problem from algebraic coding theory
β Scribed by Bill Lyle
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 611 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie
Let K be a field admitting a Galois extension L of degree n with Galois group G. Artin's lemma on the independence of characters implies that the algebra of K-linear endomorphisms of L is identical with the set of L-linear combinations of the elements of G. This paper examines some consequences of t
We study the representation theory of code vertex operator algebras M D Ε½ . VOAs constructed from an even binary linear code D. Our main purpose is to study, using the representation theory of M , the structure of VOA V containing a D 1 set of mutually orthogonal rational conformal vectors with cent