2020/03/20 by Kieran Calvert, Calvert, Kieran
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Brauer group #Brauer's theorem on induced characters #Duality (order theory) #FOS: Mathematics #Mathematics #Pure mathematics #Representation Theory (math.RT) #Representation theory #Rings and Algebras (math.RA) #Symplectic geometry #Symplectic group #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.2003.09319
published in arXiv (Cornell University) (Cornell University) · 17 pages, 7 figures
arxiv created 2020/03/20 · openalex publication_date 2020/03/20 · arxiv updated 2020/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the centraliser of the maximal compact subgroup of the real orthogonal or symplectic groups acting on tensors of their standard representation are isomorphic to cyclotomic Brauer algebras. We also show that for the symplectic group this cyclotomic Brauer algebra splits into summands of walled Brauer algebras.