A new description of the quantum superalgebra U_q[sl(n+1|m)] and related Fock representations

1999/11/22 by T. D. Palev, Palev, T. D., N. I. Stoilova +3
Mathematics · Physics and Astronomy · #17B37 #81R50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA #msc:17B37 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9911169

5 pages, PlainTex; Talk presented at the International Symposium ``Quantum Theory and Symmetries'', 18-22 July, 1999, Goslar, Germany

arxiv created 1999/11/22 · openalex publication_date 1999/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A description of the quantum superalgebra U_q[sl(n+1|m)] via creation and annihilation generators (CAGs) is given. A statement that the Fock representations of the CAGs provide microscopic realizations of exclusion statistics is formulated.

Related

• A class of representations of the ℤ₂×ℤ₂-graded special linear Lie superalgebra \mathfraksl(m₁+1,m₂|n₁,n₂) and quantum statistics
• On the quantum superalgebra U_q(gl(m,n)) and its representations at roots of 1
• q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))
• Lie Algebraical Aspects of the Quantum Statistics. Unitary Quantization (A-quantization)
• Quasiboson representations of sl(n+1) and generalized quantum statistics