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Contributions to algebra : a collection of papers dedicated to Ellis Kolchin /
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1977.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin; Copyright Page; Dedication; Table of Contents; List of contributors; Preface; Chapter 1. Quadratic modules over polynomial rings; Introduction; 1. Definitions, and background of the problem; 2. Reduction by the Cancellation Theorem to low ranks; 3. Quadratic spaces of low rank; 4. Proof of the Cancellation Theorem; 5. Proof of Karoubi's theorem; References; Chapter 2. The action of the universal modular group on certain boundary points; Text; References.
- Chapter 3. Differentially closed fields: a model-theoretic tourIntroduction; 1. Background; 2. Model completions; 3. Main results; 4. Some properties of differential closures and some immediate consequences; 5. Notes; Appendix: Details of uniqueness proof filled in Definitions; References; Chapter 4. On finite projective groups; 1. Introduction; 2. Preliminaries; 3. Finite strongly irreducible linear groups; 4. Case I; 5. Case II; 6. Quasi-primitive linear groups; References; Chapter 5. Unipotent differential algebraic groups; Introduction of subject matter and notation.
- 1. The structure of unipotent differential algebraic groups2. Commutative linear unipotent differential algebraic groups; 3. Differential rational cohomology; 4. Extensions of differential algebraic groups; 5. The groupsH∆2(Ga, Ga) and Cent Ext∆(Ga, Ga); References; Chapter 6. Solutions in the general solution; 1. Introduction; 2. Differentially closed places; 3. Preliminary criteria; 4. Algebraic extensions; 5. Final criteria; 6. Several indeterminates; References; Chapter 7. Folk theorems on elliptic equations; Text; References; Chapter 8. Limit properties of stochastic matrices
- 1. Preliminaries2. Shrinking matrices; 3. Analysis of supports; 4. The case d = 1; 5. The general case; Chapter 9. A fixed-point characterization of linearly reductive groups; 1. Introduction; 2. Proof of the theorem; References; Chapter 10. Orthogonal and unitary invariants of families of subspaces; 1. Pairs of subspaces; 2. Systems of lines; 3. Representations of H*-algebras; 4. Systems of subspaces; References; Chapter 11. The Macdonald-Kac formulas as a consequence of the Euler-Poincaré principle; Introduction; 1. The Lie algebras of Kac and Moody; 2. Quasisimple modules.
- 3. Homology associated with F-parabolic subalgebras4. Combinatorial identities; References; Chapter 12. The characters of reductive p-adic groups; Text; References; Chapter 13. Basic constructions in group extension theory; 1. Introduction; 2. Preliminaries; 3. Group extensions; 4. Crossed homomorphisms; 5. Transgression; 6. Inflation; 7. Abelian kernels; 8. Cohomology; Chapter 14. On the hyperalgebra of a semisimple algebraic group; 1. The hyperalgebra; 2. The algebra ur and its representations; 3. Tensor products; 4. Completely reducible G-modules; 5. Mumford's conjecture; References.