On the Bruhat \(\mathcal{G}\)-order between local systems on the \(B\)-orbits in a Hermitian symmetric variety

DOI10.1007/s00031-023-09824-1OpenAlexW3156470049MaRDI QIDQ6185768

Michele Carmassi

Publication date: 8 January 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-023-09824-1

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Cites Work

• Unnamed Item
• Criteria for rational smoothness of some symmetric orbit closures.
• Singularities of closures of K-orbits on flag manifolds
• The Bruhat order on symmetric varieties
• Representations of Coxeter groups and Hecke algebras
• Combinatorial invariance of Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals
• Parabolic subgroups with Abelian unipotent radical
• On the orbits of a Borel subgroup in abelian ideals
• Combinatorics of Coxeter Groups
• The Bruhat order on abelian ideals of Borel subalgebras
• Spherical nilpotent orbits and abelian subalgebras in isotropy representations
• Introduction to Lie Algebras and Representation Theory

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