Work

Some restriction coefficients for the trivial and sign representations

Year: 2024

Type: article

Abstract: We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity of the sign representation in irreducible polynomial representations of G L n ( ℂ ) indexed by two-column and hook partitions. Our method also yields a positive combinatorial interpretation for the multiplicity of the trivial representation of S n in an irreducible polynomial representation indexed by a hook partition.

Source: Algebraic Combinatorics

DOI: 10.5802/alco.360

Authors: Sridhar Narayanan, Digjoy Paul, Amritanshu Prasad, Shraddha Srivastava

Institutions: Tata Institute of Fundamental Research, Indian Institute of Science Bangalore, Institute of Mathematical Sciences, Indian Institute of Technology Dharwad

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Department of Science and Technology, Ministry of Science and Technology, India

OpenAlex ID: W4402198550