Poincaré polynomial at \(-1\) associated with a Young diagram of three rows

DOI10.1007/s10801-022-01142-1zbMath1500.05005OpenAlexW4280628411MaRDI QIDQ2084691

Ronit Mansour

Publication date: 18 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-022-01142-1

zbMATH Keywords

Poincaré polynomialDyck paths\(\lambda\)-vacillating diagrams

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

• Unnamed Item
• Classes unipotentes et sous-groupes de Borel
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• Generating functions for generating trees
• Betti numbers of the Springer fibers over nilpotent elements in \(gl_n(\mathbb{C})\) of Jordan form \((2^b,1^{a-b})\)
• Unimodality of the distribution of Betti numbers for some Springer fibers
• Kernel method and linear recurrence system
• Betti numbers of Springer fibers in type \(A\)

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