Computing component groups of stabilizers of nilpotent orbit representatives

IF 0.6 4区 数学 Q4 COMPUTER SCIENCE, THEORY & METHODS Journal of Symbolic Computation Pub Date : 2024-11-26 DOI:10.1016/j.jsc.2024.102404
Emanuele Di Bella, Willem A. de Graaf
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引用次数: 0

Abstract

We describe computational methods for computing the component group of the stabilizer of a nilpotent element in a complex simple Lie algebra. Our algorithms have been implemented in the language of the computer algebra system GAP4. Occasionally we need Gröbner basis computations; for these we use the systems Magma and Singular. The resulting component groups have been made available in the GAP4 package SLA.
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来源期刊
Journal of Symbolic Computation
Journal of Symbolic Computation 工程技术-计算机:理论方法
CiteScore
2.10
自引率
14.30%
发文量
75
审稿时长
142 days
期刊介绍: An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.
期刊最新文献
Computing component groups of stabilizers of nilpotent orbit representatives Editorial Board Computing the homology of universal covers via effective homology and discrete vector fields Local dual spaces and primary decomposition On the existence and convergence of formal power series solutions of nonlinear Mahler equations
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