Algorithmic Algebra and Number Theory
Selected Papers From a Conference Held at the University of Heidelberg in October 1997
B.H. Matzat, G.M. Greuel, G. Hiss
434 pages, parution le 01/02/2001
Résumé
This book contains 22 lectures presented at the final
conference of the German research program "Algorithmic
Number Theory and Algebra 1991-1997", sponsored by the
Deutsche Forschungsgemeinschaft. The purpose of this
research program and the meeting was to bring together
developers of computer algebra software and researchers
using computational methods to gain insight into
experimental problems and theoretical questions in algebra
and number theory. The book gives an overview on
algorithmic methods and results obtained during this period
mainly in algebraic number theory, commutative algebra and
algebraic geometry, and group and representation theory.
Some of the articles illustrate the current state of the
computer algebra systems developed with support from the
research program, for example KANT and LiDIA for algebraic
number theory, SINGULAR, REDLOG and INVAR for commutative
algebra and invariant theory respectively, and GAP,
SYSYPHOS and CHEVIE for group and representation theory.
- Sieving Methods for Class Group Computation
- J. Buchmann, M. J. Jacobson, Jr., S. Neis (et al.)
- Arithmetic of Modular Curves and Applications
- G. Frey, M. Muller
- Local and Global Ramification Properties of Elliptic Curves in Characteristics Two and Three
- E.-U. Gekeler
- Techniques for the Computation of Galois Groups
- A. Hulpke
- Fortschritte in der inversen Galoistheorie
- B. H. Matzat
- From Class Groups to Class Fields
- M. E. Pohst
- A Gross-Zagier Formula for Function Fields
- H.-G. Ruck, U. Tipp
- Extremal Lattices
- R. Scharlau, R. Schulze-Pillot
- On the Real Nullstellensatz
- E. Becker, J. Schmid
- Primary Decomposition: Algorithms and Comparisons
- W. Decker, G.-M. Greuel, G. Pfister
- Real Quantifier Elimination in Practice
- A. Dolzmann, T. Sturm, V. Weispfenning
- Hilbert Series and Degree Bounds in Invariant Theory
- G. Kemper
- Invariant Rings and Fields of Finite Groups
- G. Kemper, G. Malle
- Computing Versal Deformations with SINGULAR
- B. Martin
- Algorithms for the Computation of Free Resolutions
- T. Siebert
- Computational Aspects of the Isomorphism Problem
- F. M. Bleher, W. Kimmerle, K. W. Roggenkamp (et al.)
- Representations of Hecke Algebras and Finite Groups of Lie Type
- R. Dipper, M. Geck, G. Hiss (et al.)
- The Groups of Order 512
- B. Eick, E. A. O'Brien
- Computational Aspects of Representation Theory of Finite Groups II
- K. Lux, H. Pahlings
- High Performance Computations in Group Representation Theory
- G. O. Michler
- The Structure of Maximal Finite Primitive Matrix Groups
- G. Nebe
- Presentations and Representations of Groups
- W. Plesken
L'auteur - G.M. Greuel
University of Kaiserslautern, Germany
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | B.H. Matzat, G.M. Greuel, G. Hiss |
| Parution | 01/02/2001 |
| Nb. de pages | 434 |
| Format | 15,5 23,5 |
| Couverture | Broché |
| Poids | 660g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540646709 |
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