Dimension of zero weight space: an algebro-geometric approach

DOI10.1016/j.jalgebra.2014.01.006zbMath1300.22008arXiv1304.4210OpenAlexW2014007725MaRDI QIDQ2253019

Dipendra Prasad, Shrawan Kumar

Publication date: 25 July 2014

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

Full work available at URL: https://arxiv.org/abs/1304.4210

zbMATH Keywords

semisimple groupsflag varietyirreducible modulesGIT quotientspiecewise quasi-polynomialszero weight spaces

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (7)

Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ Some conditions for descent of line bundles to GIT quotients \((G/B\times G/B\times G/B)//G\) ⋮ Higher depth false modular forms ⋮ Multiplicity formulas for fundamental strings of representations of classical Lie algebras ⋮ A geometric approach to the stabilisation of certain sequences of Kronecker coefficients ⋮ Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions ⋮ Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem]

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