On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems

2005/10/05 by Malte Henkel, Henkel, Malte, René Schott +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.math/0510096

openalex publication_date 2005/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The study of ageing phenomena leads to the investigation of a maximal parabolic subalgebra of conf₃ which we call alt. We investigate its Lie structure, prove some results concerning its representations and characterize the related Appell systems.

Citations

• Local scale-invariance and ageing in noisy systems

Cited by

• Aspects of Higher Spin Theories, Conformal Field Theories and Holography

Related

• Graded Lie Algebras and dynamical systems
• Schrödinger invariance and spacetime symmetries
• Parabolic category \mathcal O^{\mathfrak p} for periplectic Lie superalgebras \mathfrakpe(n)
• The growth of Temperley-Lieb type algebras
• Generalizations of the Lie superalgebras of supermatrices of complex size and related topics