On tangent spaces to Schubert varieties. II

DOI10.1006/jabr.1999.7999zbMath0974.14035OpenAlexW2031069852MaRDI QIDQ1975145

Venkatramani Lakshmibai

Publication date: 24 October 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.7999

zbMATH Keywords

Weyl groupSchubert varietyroot systemclassical groupsBruhat orderBorel subgroup

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Lie groups (22E99)

Related Items (3)

Cominuscule points and Schubert varieties ⋮ Equivariant K-theory and tangent spaces to Schubert varieties ⋮ Singularities of restriction varieties in OG(k, n)

Cites Work

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• Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\)
• Geometry of G/P. V
• Geometry of G/P. VI: Bases for fundamental represenations of classical groups. Geometry of G/P. VII: The symplectic group and the involution \(\sigma\) . Geometry of G/P. VIII: The group \(SO(2n+1)\) and the involution \(\sigma\)
• Classical Bruhat orders and lexicographic shellability
• On tangent spaces to Schubert varieties
• On Zariski tangent spaces of Schubert varieties, and a proof of a conjecture of Deodhar
• Singular locus of a Schubert variety
• Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]

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