Diagonal reduction algebra and reflection equation

2015/10/18 by S. Khoroshkin, Khoroshkin, S., O. Ogievetsky +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1510.05258

openalex publication_date 2015/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the diagonal reduction algebra D(gl(n)) of the Lie algebra gl(n) in the R-matrix formalism. As a byproduct we present two families of central elements and the braided bialgebra structure of D(gl(n)).

Cited by

• Reciprocal relations for orthogonal quantum matrices
• Parabolic Stabilization and Cutting for Reduction Superalgebras

Related

• Diagonal reduction algebras of \gl type
• Representation theory of the reflection equation algebra III: Classification of irreducible representations
• Parabolic Stabilization and Cutting for Reduction Superalgebras
• Characters of \U_q(gl(n))-reflection equation algebra
• Representation theory of the Reflection Equation Algebra II: Theory of shapes