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Article: Total positivity in the de concini-procesi compactification

TitleTotal positivity in the de concini-procesi compactification
Authors
He, Xuhua
Issue Date2004
Citation
Representation Theory, 2004, v. 8, n. 3, p. 52-71 How to Cite?
DOI: http://dx.doi.org/10.1090/S1088-4165-04-00213-4
AbstractWe study the nonnegative part (Formula presantad) of the De Concini-Procesi compactification of a semisimple algebraic group G, as defined by Lusztig. Using positivity properties of the canonical basis and parametrization of flag varieties, we will give an explicit description of (Formula presantad). This answers the question of Lusztig in Total positivity and canonical bases, Algebraic groups and Lie groups (ed. G.I. Lehrer), Cambridge Univ. Press, 1997, pp. 281-295. We will also prove that (Formula presantad) has a cell decomposition which was conjectured by Lusztig. © 2004 American Mathematical Society.
Persistent Identifierhttp://hdl.handle.net/10722/330061
ISSN
1088-4165
2023 Impact Factor: 0.7
2023 SCImago Journal Rankings: 0.917

 

DC FieldValueLanguage
dc.contributor.authorHe, Xuhua-
dc.date.accessioned2023-08-09T03:37:30Z-
dc.date.available2023-08-09T03:37:30Z-
dc.date.issued2004-
dc.identifier.citationRepresentation Theory, 2004, v. 8, n. 3, p. 52-71-
dc.identifier.issn1088-4165-
dc.identifier.urihttp://hdl.handle.net/10722/330061-
dc.description.abstractWe study the nonnegative part (Formula presantad) of the De Concini-Procesi compactification of a semisimple algebraic group G, as defined by Lusztig. Using positivity properties of the canonical basis and parametrization of flag varieties, we will give an explicit description of (Formula presantad). This answers the question of Lusztig in Total positivity and canonical bases, Algebraic groups and Lie groups (ed. G.I. Lehrer), Cambridge Univ. Press, 1997, pp. 281-295. We will also prove that (Formula presantad) has a cell decomposition which was conjectured by Lusztig. © 2004 American Mathematical Society.-
dc.languageeng-
dc.relation.ispartofRepresentation Theory-
dc.titleTotal positivity in the de concini-procesi compactification-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1090/S1088-4165-04-00213-4-
dc.identifier.scopuseid_2-s2.0-18444366734-
dc.identifier.volume8-
dc.identifier.issue3-
dc.identifier.spage52-
dc.identifier.epage71-

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