Tangent cones to Schubert varieties in types \(A_{n}\), \(B_{n}\) and \(C_{n}\)

DOI10.1016/J.JALGEBRA.2016.07.015zbMath1346.14117arXiv1310.3166OpenAlexW2963907168MaRDI QIDQ306542

Mikhail V. Ignatyev, Aleksandr A. Shevchenko, Mikhail A. Bochkarev

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1310.3166

zbMATH Keywords

Schubert varietyflag varietytangent coneinvolution in the Weyl groupKostant-Kumar polynomialreduced tangent cone

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Root systems (17B22)

Related Items (3)

On tangent cones of Schubert varieties ⋮ On tangent cones to Schubert varieties in type \(E\) ⋮ On cones tangent to Schubert varieties of type $D_n$

Cites Work

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• Tangent cones of Schubert varieties for \(A_n\) of lower rank
• Orthogonal subsets of classical root systems and coadjoint orbits of unipotent groups.
• The Bruhat-Chevalley order on involutions of the hyperoctahedral group and the combinatorics of \(B\)-orbit closures.
• T-equivariant K-theory of generalized flag varieties
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Classical Bruhat orders and lexicographic shellability
• Singular loci of Schubert varieties
• The nil Hecke ring and Deodhar's conjecture on Bruhat intervals
• The nil Hecke ring and singularity of Schubert varieties
• Combinatorics of \(B\)-orbits and Bruhat-Chevalley order on involutions.
• Kostant polynomials and the cohomology ring for \(G/B\)
• Kostant-Kumar polynomials and tangent cones to Schubert varieties for involutions in \(A_{n}\), \(F_{4}\), and \(G_{2}\)
• Involutions in \(S_n\) and associated coadjoint orbits
• Combinatorics of Coxeter Groups
• Orthogonal subsets of root systems and the orbit method
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

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