L773:1742 6596 OR L773:1742 6588
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Generators and relations for (generalised) Cartan type superalgebras
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- Carbone, Lisa (author)
- Rutgers University,Department of Mathematics, Rutgers University, Piscataway NJ, USA
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- Cederwall, Martin, 1961 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden
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- Palmkvist, Jakob, 1980 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden
- (creator_code:org_t)
- 2019-04-24
- 2019
- English.
- Series: Journal of Physics: Conference Series (JPCS), 1742-6588 1742-6596 ; 1194
- In: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 1194:1
- Conference paper (peer-reviewed)
Abstract
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- 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
- 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)
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