• Policy
    • FAQ JLUdocs
    • FAQ JLUdata
    • Publishing in JLUdocs
    • Publishing in JLUdata
    • Publishing Contract
    • English
    • Deutsch
View Item 
  •   JLUpub Home
  • JLUdata
  • Forschungsdaten
  • View Item
  •   JLUpub Home
  • JLUdata
  • Forschungsdaten
  • View Item
  • Info
    • Policy
    • FAQ JLUdocs
    • FAQ JLUdata
    • Publishing in JLUdocs
    • Publishing in JLUdata
    • Publishing Contract
  • English 
    • English
    • Deutsch
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

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

Thumbnail
Files in this item
Reproduction.7z (27.78Mb)
Date
2022-02-04
Author
Lautenbacher, Robin
Metadata
Show full item record
BibTeX Export
Quotable link
http://dx.doi.org/10.22029/jlupub-533
Abstract

This 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.

Linked publications or data sets
https://dx.doi.org/10.22029/jlupub-541
Collections
  • Forschungsdaten
Attribution-NonCommercial 4.0 International
Attribution-NonCommercial 4.0 International

Contact Us | Impressum | Privacy Policy | OAI-PMH
 

 

Browse

All of JLUpubCommunities & CollectionsOrganisational UnitDDC-ClassificationPublication TypeAuthorsBy Issue DateThis CollectionOrganisational UnitDDC-ClassificationPublication TypeAuthorsBy Issue Date

My Account

LoginRegister

Statistics

View Usage Statistics

Contact Us | Impressum | Privacy Policy | OAI-PMH