SOME ALGEBRAICAL, COMBINATORIAL AND ANALYTICAL PROPERTIES OF PARAGRASSMANN VARIABLES

DOI10.1142/S0217751X05025127zbMath1088.81510MaRDI QIDQ5695075

Matthias Schork

Publication date: 11 October 2005

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

exclusion statisticssuperconformal transformationGrassmann variable

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Grassmannians, Schubert varieties, flag manifolds (14M15) Conformal mappings of special domains (30C20) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Supersymmetry and quantum mechanics (81Q60) Exterior algebra, Grassmann algebras (15A75)

Related Items (4)

On Cauchy-Euler’s differential equation involving a para-Grassmann variable ⋮ On the differential equation of first and second order in the Zeon algebra ⋮ On the second order differential equation involving two ordinary and one para-Grassmann variable ⋮ On linear differential equations with variable coefficients involving a para-Grassmann variable

Cites Work

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• PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
• Paragrassmann Integral, Discrete Systems and Quantum Groups
• Geometrical Foundations of Fractional Supersymmetry
• PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA
• Generalized Fibonacci Numbers and Associated Matrices
• A NOTE ON GAUSSIAN INTEGRALS OVER PARA-GRASSMANN VARIABLES
• Torsion-Free Sheaves and Moduli of Generalized Spin Curves
• FRACTIONAL STATISTICS IN TERMS OF THE r-GENERALIZED FIBONACCI SEQUENCES
• Algebraic q-integration and Fourier theory on quantum and braided spaces
• FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS, TOPOLOGICAL INVARIANTS AND GENERALIZED DEFORMED OSCILLATOR ALGEBRAS
• Theory of \((k\oplus l\mid q)\)-dimensional supermanifolds

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