Branching rules for the Weyl Groups of the Unitary and Orthogonal Lie\n Groups

2017/11/09 by Godofredo Iommi Amunátegui, Godofredo Iommi Amunategui, Amunategui, Godofredo Iommi
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Branching (polymer chemistry) #Classical group #Combinatorics #Combinatorics (math.CO) #Computer science #FOS: Mathematics #Finite Group Theory Research #Group (periodic table) #Irreducible representation #Key (lock) #Lie group #Mathematics #Molecular spectroscopy and chirality #Physics #Political science #Pure mathematics #Quantum mechanics #Representation Theory (math.RT) #Symmetric group #Unitary state #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1711.03545

published in arXiv (Cornell University) (Cornell University) · 14 pages

arxiv created 2017/11/09 · openalex publication_date 2017/11/09 · arxiv updated 2017/11/13 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

This note presents a procedure to determine the reduction of the irreducible\nand the induced characters of the symmetric group in terms of the irreducible\nand induced characters of the hyperoctahedral group\n Key Words: Symmetric Group, Hyperoctahedral group, Representations,\nCharacters, Re- duction.\n

Related

• Relative Weyl Character formula, Relative Pieri formulas and Branching rules for Classical groups
• A character relationship between symmetric group and hyperoctahedral\n group
• A recursion formula for the irreducible characters of the symmetric group
• A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group
• Branching laws and a duality principle, Part I