Publication: Generalized exclusion and Hopf algebras
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IOP Publishing
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We propose a generalized oscillator algebra at the roots of unity with generalized exclusion and we investigate the braided Hopf structure. We find that there are two solutions: these are the generalized exclusions of the bosonic and fermionic types. We also discuss the covariance properties of these oscillators
10 pages, to appear in J. Phys. A
10 pages, to appear in J. Phys. A
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High Energy Physics - Theory, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Commutation relations and statistics as related to quantum mechanics (general), Hopf algebras (associative rings and algebras), High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups and related algebraic methods applied to problems in quantum theory, Condensed Matter - Statistical Mechanics