2001/11/12 by Gordon James, James, Gordon, Andrew Mathas +1 · 1 citation
Mathematics · #20C08 #20C30 #33D80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.math/0111140
openalex publication_date 2001/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper shows that certain decomposition numbers for the Hecke algebras and q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results we first establish the corresponding theorem for the canonical basis of the level one Fock space and then apply deep results of Ariki and Varagnolo and Vasserot.