Standard monomials for wonderful group compactifications

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dc.creatorAppel, Katrin
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:54:45Z
dc.date.available2026-07-07T06:54:45Z
dc.descriptionLet X be the wonderful compactification of a semisimple adjoint algebraic group. Extending the standard monomials on the flag variety, Chirivi and Maffei constructed a basis of the space of global sections on X that is compatible with all closures of GxG-orbits in X. We show that this basis is also compatible with all BxB-orbit closures by defining subsets using only combinatorics of the underlying paths. Furthermore, we construct standard monomials on X that have properties similar to classical standard monomials.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0512020
dc.identifierhttp://arxiv.org/abs/math/0512020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106047
dc.subjectRepresentation Theory
dc.subject20G05; 14M17
dc.titleStandard monomials for wonderful group compactifications
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