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- Carbone, LisaRutgers University,Department of Mathematics, Rutgers University, Piscataway NJ, USA (author)
Generators and relations for (generalised) Cartan type superalgebras
- Article/chapterEnglish2019
Publisher, publication year, extent ...
- 2019-04-24
- IOP Publishing,2019
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:research.chalmers.se:cfd180f0-f2a0-4b55-b9f8-464ef827aa0f
- https://doi.org/10.1088/1742-6596/1194/1/012020DOI
- https://research.chalmers.se/publication/511900URI
- https://research.chalmers.se/publication/507853URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-111153URI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Series
- Journal of Physics: Conference Series (JPCS),1742-65881742-6596 ;1194
Notes
- In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, A(n-1,0) = s (1|n) can be constructed by adding a "gray" node to the Dynkin diagram of An-1 = s (n), corresponding to an odd null root. The Cartan superalgebras constitute a difierent class, where the simplest example is Wpnq, the derivation algebra of the Grassmann algebra on n generators. Here we present a novel construction of Wpnq, from the same Dynkin diagram as A(n-1,0), but with additional generators and relations.
Subject headings and genre
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Geometri hsv//swe
- NATURAL SCIENCES Mathematics Geometry hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
Added entries (persons, corporate bodies, meetings, titles ...)
- Cederwall, Martin,1961Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden(Swepub:cth)tfemc (author)
- Palmkvist, Jakob,1980Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden(Swepub:oru)jbpt (author)
- Rutgers UniversityDepartment of Mathematics, Rutgers University, Piscataway NJ, USA (creator_code:org_t)
Related titles
- In:Journal of Physics: Conference Series: IOP Publishing1194:11742-65881742-6596
Internet link
- https://research.chalmers.se/publication/511900/file/511900_Fulltext.pdfFULLTEXT
- https://doi.org/10.1088/1742-6596/1194/1/012020
- https://doi.org/10.1088/1742-6596/1194/1/012020Fulltext
- https://doi.org/10.1088/1742-6596/1194/1/012020
- https://research.chalmers.se/publication/511900
- https://research.chalmers.se/publication/507853
- https://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-111153
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