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- Bott–Samelson_variety abstract "In mathematics, Bott–Samelson varieties were introduced independently by Hansen (1973) and Demazure (1974) (who named them Bott–Samelson varieties) as an algebraic group analogue of the spaces constructed for compact groups by Bott and Samelson (1958, p. 970). They are sometimes desingularizations of Schubert varieties.A Bott–Samelson variety Z can be constructed aswhere B is a Borel subgroup of a reductive algebraic group and the Ps are minimal parabolic subgroups containing B. (An element b of B acts on P on the right as right multiplication by b and acts on P on the left as left multiplication by b−1.) Taking the product of its coordinates gives a proper map from the Bott–Samelson variety Z to the algebraic group G whose image is a Schubert variety. In some cases this map is birational and gives a desingularization of the Schubert variety.".
- Bott–Samelson_variety wikiPageID "37407152".
- Bott–Samelson_variety wikiPageRevisionID "569378451".
- Bott–Samelson_variety author1Link "Raoul Bott".
- Bott–Samelson_variety author2Link "Hans Samelson".
- Bott–Samelson_variety last "Bott".
- Bott–Samelson_variety last "Samelson".
- Bott–Samelson_variety loc "p. 970".
- Bott–Samelson_variety year "1958".
- Bott–Samelson_variety subject Category:Algebraic_groups.
- Bott–Samelson_variety subject Category:Representation_theory.
- Bott–Samelson_variety comment "In mathematics, Bott–Samelson varieties were introduced independently by Hansen (1973) and Demazure (1974) (who named them Bott–Samelson varieties) as an algebraic group analogue of the spaces constructed for compact groups by Bott and Samelson (1958, p. 970). They are sometimes desingularizations of Schubert varieties.A Bott–Samelson variety Z can be constructed aswhere B is a Borel subgroup of a reductive algebraic group and the Ps are minimal parabolic subgroups containing B.".
- Bott–Samelson_variety label "Bott–Samelson variety".
- Bott–Samelson_variety sameAs Bott%E2%80%93Samelson_variety.
- Bott–Samelson_variety sameAs Q4949188.
- Bott–Samelson_variety sameAs Q4949188.
- Bott–Samelson_variety wasDerivedFrom Bott–Samelson_variety?oldid=569378451.