Polynomial induction and the restriction problem

DOI10.1007/s13226-021-00185-7zbMath1477.05188arXiv2004.03928OpenAlexW4206062422MaRDI QIDQ2065329

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

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03928

zbMATH Keywords

plethysmFrobenius reciprocityrestriction problemmultipartite partitionspolynomial induction

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (1)

Symmetric group characters as symmetric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A computational and combinatorial exposé of plethystic calculus
• Partitions of bipartite numbers
• Symmetric group characters as symmetric functions
• A Hopf-algebra approach to inner plethysm
• The plethysm \(s_\lambda[s_\mu\) at hook and near-hook shapes]
• Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).]
• On the multiplicity-free plethysms \(p_{2}[s_\lambda\)]
• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• Character polynomials and the restriction problem
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• A combinatorial rule for the schur function expansion of the PlethysmS(1^a,b)[P_k]
• Specht modules decompose as alternating sums of restrictions of Schur modules
• On Induced Representations of Groups
• Representation Theory

This page was built for publication: Polynomial induction and the restriction problem