Character polynomials and the restriction problem

DOI10.5802/alco.176zbMath1473.05313arXiv2001.04112OpenAlexW3196464243MaRDI QIDQ2232311

Sridhar P. Narayanan, Digjoy Paul, Amritanshu Prasad, Shraddha Srivastava

Publication date: 4 October 2021

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

Full work available at URL: https://arxiv.org/abs/2001.04112

zbMATH Keywords

restriction problemcharacter polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

Symmetric group characters as symmetric functions ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ The Frobenius characteristic of character polynomials ⋮ Polynomial induction and the restriction problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• FI-modules over Noetherian rings.
• Partitions of bipartite numbers
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Schur functors and Schur complexes
• Schur and Weyl functors
• Partitions of bi-partite numbers into at most \(j\) parts
• A Hopf-algebra approach to inner plethysm
• Cohomology of finite group schemes over a field
• The Hopf structure of symmetric group characters as symmetric functions
• FI-modules and stability for representations of symmetric groups
• Character polynomials, their \(q\)-analogs and the Kronecker product.
• Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras
• Koszul, Ringel and Serre duality for strict polynomial functors
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• Specht modules decompose as alternating sums of restrictions of Schur modules
• Representation Theory

This page was built for publication: Character polynomials and the restriction problem