Symmetric Dellac configurations and symplectic/orthogonal flag varieties

DOI10.1016/j.laa.2019.03.015zbMath1470.05014arXiv1804.10804OpenAlexW2887227815MaRDI QIDQ2419036

Evgeny Feigin, Ange Bigeni

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10804

zbMATH Keywords

flag varietiesDellac configurations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Grassmannians, Schubert varieties, flag manifolds (14M15) Lie algebras of linear algebraic groups (17B45)

Related Items (2)

PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Symmetric Dellac configurations

Uses Software

• OEIS

Cites Work

• Degenerate flag varieties and Schubert varieties: a characteristic free approach
• Quantum cohomology of the odd symplectic Grassmannian of lines
• Degenerate flag varieties of type A: Frobenius splitting and BW theorem
• Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers
• Quiver Grassmannians and degenerate flag varieties
• The median Genocchi numbers, \(q\)-analogues and continued fractions
• \({\mathbb{G}_a^M}\) degeneration of flag varieties
• Torus fixed points in Schubert varieties and normalized median Genocchi numbers
• A \(q\)-analog of the Seidel generation of Genocchi numbers
• Odd symplectic groups
• Interpretations combinatoires des nombres de Genocchi
• Gandhi \(q\)-polynomials and Denert statistic
• Further results on the Euler and Genocchi numbers
• Derangements and Genocchi numbers
• A generalization of the Kreweras triangle through the universal \(\mathrm{sl}_{2}\) weight system
• Combinatorial interpretations of the Kreweras triangle in terms of subset tuples
• The On-Line Encyclopedia of Integer Sequences
• Cohomology of the flag variety under PBW degenerations
• Degenerate flag varieties and the median Genocchi numbers
• Odd symplectic flag manifolds
• Degenerate coordinate rings of flag varieties and Frobenius splitting
• Symplectic Degenerate Flag Varieties
• Degenerate Flag Varieties of Type A and C are Schubert Varieties
• Symmetric Dellac configurations
• On the permutations counted by the Genocchi numbers of the first and second kind
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