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Representationsteori för ändliga supergrupper
Örebro University, School of Science and Technology.
Örebro University, School of Science and Technology.
2017 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [sv]

Denna uppsats handlar om representationer och moduler över ändliga supergrupper.

Klassisk representationsteori lägger grunden för detta arbete. Vi

ser att representationer över grupper och CG-moduler över gruppalgebror

är ekvivalenta, på grund av detta studerar vi moduler över supergrupper

(SG_-moduler) genom CG-moduler.

Uppsatsen landar i en klassi_cering av moduler till SG_ under begränsningen

att en viss G-representation (V; _) är den endimensionella triviala

representationen; vi bestämmer upp till isomor_ alla ouppdelbara ändligdimensionella

moduler. Inte alla dessa moduler är enkla, vissa är reducibla

men ouppdelbara.

Abstract [en]

This paper is about representations and modules over nite supergroups.

Classic representation theory sets the foundation of this paper. We nd that

representations over groups and CG-modules over groupalgebras are equivalent,

because of this we will study modules over supergroups (SG-modules)

by CG-modules.

The paper ends in a classication of modules to SG under the constriction

that a certain G-representation (V; ) is the one-dimensional trivial representation;

we recognize, up to isomorphism, all the indecomposable nite

dimensional modules. Not all these modules are simple, some are reducible

but indecomposable.

Place, publisher, year, edition, pages
2017. , p. 27
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-59107OAI: oai:DiVA.org:oru-59107DiVA, id: diva2:1133541
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2017-08-16 Created: 2017-08-16 Last updated: 2017-10-18Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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