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Supports of weight modules over Witt algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2011 (English)In: Proceedings of the Royal Society of Edinburgh. Section A Mathematics, ISSN 0308-2105, E-ISSN 1473-7124, Vol. 141, no 1, 155-170 p.Article in journal (Refereed) Published
Abstract [en]

As the first step towards a classification of simple weight modules with finite dimensional weight spaces over Witt algebras W-n, we explicitly describe the supports of such modules. We also obtain some descriptions of the support of an arbitrary simple weight module over a Z(n)-graded Lie algebra g having a root space decomposition circle plus(n)(a is an element of Z) g(alpha) with respect to the abelian subalgebra go, with the property [g(alpha), g(beta)] = g(alpha+beta) for all alpha,beta is an element of Z(n), a not equal beta (this class contains the algebra W-n).

Place, publisher, year, edition, pages
2011. Vol. 141, no 1, 155-170 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-149567DOI: 10.1017/S0308210509000912ISI: 000287840400009OAI: oai:DiVA.org:uu-149567DiVA: diva2:405190
Available from: 2011-03-21 Created: 2011-03-21 Last updated: 2017-12-11Bibliographically approved

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Algebra, Geometry and Logic
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