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INICIO |
27 de julio de 2024
Noncommutative algebraic geometry.
| Título inglés | Noncommutative algebraic geometry. |
|---|---|
| Título español | Geometría algebraica no conmutativa. |
| Autor/es | Laudal, Olav A. |
| Organización | Mat. Inst. Univ. Oslo, Oslo, Noruega |
| Revista | 0213-2230 |
| Publicación | 2003, 19(2): 509-580, 20 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure. In this paper we shall show that one may overcome these difficulties by introducing a noncommutative algebraic geometry, where affine schemes are modeled on associative algebras. The points of such an affine scheme are the simple modules of the algebra, and the local structure of the scheme at a finite family of points, is expressed in terms of a noncommutative deformation theory proposed by the author in [10]. ... |
| Clasificación UNESCO | 120101 |
| Palabras clave español | Geometría algebraica ; Algebras no conmutativas ; Algebras asociativas |
| Código MathReviews | MR2023198 |
| Código Z-Math | Zbl 1056.14001 |
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