Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\)

DOI10.1016/0021-8693(90)90105-WzbMath0698.14058MaRDI QIDQ912178

K. N. Rajeswari, Venkatramani Lakshmibai

Publication date: 1990

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

zbMATH Keywords

standard monomial theorysingular loci of Schubert varieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (2)

On tangent spaces to Schubert varieties. II ⋮ Standard monomial theoretic proof of prv conjecture

Cites Work

• 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
• Lectures on Chevalley Groups
• Singular locus of a Schubert variety
• Singular loci of Schubert varieties for classical groups
• Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]
• Arithmetic Cohen-Macaulayness and Arithmetic Normality for Schubert Varieties
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