Hopf algebras with trace and representations

2003/04/22 by C. DeConcini, DeConcini, C., Claudio Procesi +8
Mathematics · #16G99 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16G99

paper · pdf · doi:10.48550/arxiv.math/0304313

arxiv created 2003/04/22 · openalex publication_date 2003/04/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the restriction of representations of Cayley-Hamilton algebras to subalgebras. This theory is applied to determine tensor products and branching rules for representations of quantum groups at roots of 1.

Citations

• The invariant theory of n × n matrices
• A formal inverse to the Cayley-Hamilton theorem
• Finite dimensional representations of algebras

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