A generalization of the Kostant—Macdonald identity

DOI10.1073/pnas.86.11.3934zbMath0709.14024OpenAlexW2000402897WikidataQ33860253 ScholiaQ33860253MaRDI QIDQ3491723

Carrell, James B., Ersan Akyildiz

Publication date: 1989

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.86.11.3934

zbMATH Keywords

second Betti numberKostant-Macdonald productproduct formula for the Poincaré polynomial

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (14)

On Lusztig’s q-Analogues of All Weight Multiplicities of a Representation ⋮ The equivariant cohomology ring of regular varieties ⋮ The freeness of ideal subarrangements of Weyl arrangements ⋮ The signature of generalized flag manifolds and applications ⋮ A gap theorem of Kähler manifolds with vanishing odd Betti numbers ⋮ SL2-Regular Subvarieties of Complete Quadrics ⋮ A geometric model for Hochschild homology of Soergel bimodules. ⋮ Minuscule representations and Panyushev conjectures ⋮ Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant, Macdonald, Shapiro, and Steinberg ⋮ Exponents for 𝐵-stable ideals ⋮ Factoring the Poincaré polynomials for the Bruhat order on \(S_n\) ⋮ On the equivariant cohomology of subvarieties of a \(\mathfrak{B}\)-regular variety ⋮ Complex $\text{G}_2$ and Associative Grassmannian ⋮ Poincaré Polynomials of Odd Diagram Classes

This page was built for publication: A generalization of the Kostant—Macdonald identity