Keywords
representation
matrix
module
basis.
How to Cite
Abstract
Representations of the symrnetric group is one of the rnost fertile tapies in abstract algebra toda y. Spectral analysisfor experimental design, comrnunication network design, coding theory, are among the fields of application forthis theory. Despite this concept is very useful, it is hard to find a didactic too! that allow to professors andstudents to perform new examples, computations and verifications of the theoretical statements, lirniting thenumber of examples to the trivial ones, that do not reach neither the depth of the concept nor the complexity of thecomputation. Our aim with this paper is to presenta computer prograrn running on the CoCoA system, for computingirreducible representation matrices of the symmetric group with en tries on the integers
Univ. Sci. is registered under a Creative Commons Attribution 4.0 International Public License. Thus, this work may be reproduced, distributed, and publicly shared in digital format, as long as the names of the authors and Pontificia Universidad Javeriana are acknowledged. Others are allowed to quote, adapt, transform, auto-archive, republish, and create based on this material, for any purpose (even commercial ones), provided the authorship is duly acknowledged, a link to the original work is provided, and it is specified if changes have been made. Pontificia Universidad Javeriana does not hold the rights of published works and the authors are solely responsible for the contents of their works; they keep the moral, intellectual, privacy, and publicity rights. Approving the intervention of the work (review, copy-editing, translation, layout) and the following outreach, are granted through an use license and not through an assignment of rights. This means the journal and Pontificia Universidad Javeriana cannot be held responsible for any ethical malpractice by the authors. As a consequence of the protection granted by the use license, the journal is not required to publish recantations or modify information already published, unless the errata stems from the editorial management process. Publishing contents in this journal does not generate royalties for contributors.