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 Gr & ouml;bner basis computations; for these we use the systems MAGMA and SINGULAR. The resulting component groups have been made available in the GAP4 package SLA. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Computing component groups of stabilizers of nilpotent orbit representatives / Di Bella, E.; De Graaf, W. A.. - In: JOURNAL OF SYMBOLIC COMPUTATION. - ISSN 0747-7171. - 129:(2025). [10.1016/j.jsc.2024.102404]
Computing component groups of stabilizers of nilpotent orbit representatives
Di Bella E.;de Graaf W. A.
2025-01-01
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 Gr & ouml;bner basis computations; for these we use the systems MAGMA and SINGULAR. The resulting component groups have been made available in the GAP4 package SLA. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
