(Ir-)reducibility of some tensor products of k(e10)-representations

dc.contributor.authorLautenbacher, Robin
dc.date.accessioned2022-03-04T08:01:21Z
dc.date.available2022-03-04T08:01:21Z
dc.date.issued2022-02-04
dc.description.abstractThis is a collection of codes written in Sagemath 9.0 that provide an implementation of certain so-called "higher spin representations" of the maximal compact subalgebra k(e10) of the Kac-Moody-algebra e10. Furthermore, the code analyzes (ir-)reducibility of these representations by exploiting their decomposition w.r.t. the subalgebra so(10) of k(e10). The collection includes several codes, folders with the representation matrices as well as the so(10)-modules into which the respective k(e10)-modules split. These codes were used to obtain the results of section 6.1 of the author's PhD-thesis "Higher Spin representations in Kac-Moody-Theory". The notebooks (IPYNB-files) are intended to be used with SageMath 9.0 Notebook. The other SAGE-files are scripts, some of them are loaded within the notebooks. The script "serial_run" is intended for use on a computer cluster. As the computation is set up in a serial manner and does not benefit from parallelization, a serial queue is recommended.de_DE
dc.description.sponsorshipSonstige Drittmittelgeber/-innende_DE
dc.identifier.urihttps://jlupub.ub.uni-giessen.de//handle/jlupub/613
dc.identifier.urihttp://dx.doi.org/10.22029/jlupub-533
dc.language.isodede_DE
dc.relationhttps://dx.doi.org/10.22029/jlupub-541de_DE
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectRepresentation Theoryde_DE
dc.subjectKac-Moody-Theoryde_DE
dc.subject.ddcddc:510de_DE
dc.title(Ir-)reducibility of some tensor products of k(e10)-representationsde_DE
dc.typeSoftwarede_DE
local.affiliationFB 07 - Mathematik und Informatik, Physik, Geographiede_DE
local.projectPromotionsstipendium der Studienstiftung des Deutschen Volkesde_DE

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