On Grothendieck ring of the sequence of walled Brauer algebras

2020/11/30 by Pei Wang, Yanbo Li, Wang, Pei +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2011.14506

openalex publication_date 2020/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This also allows us to calculate the structure constants of multiplication over the Grothendieck ring of the sequence.

Related

• Branching rules for cell modules on a tower of the partition algebras
• On the structure of modules over walled Brauer algebra via normal form and random walks
• Normal form for the walled Brauer algebra: construction and applications
• Walled Brauer algebras as idempotent truncations of level 2 cyclotomic quotients
• On the blocks of the walled Brauer algebra