On Paragrassmann Differential Calculus

Abstract

Explicit general constructions of paragrassmann calculus with one and many variables are given. Relations of the paragrassmann calculus to quantum groups are outlined and possible physics applications are briefly discussed. This paper is the same as the original 9210075 except added Appendix and minor changes in Acknowledgements and References. IMPORTANT NOTE: This paper bears the same title as the Dubna preprint E5-92-392 but is NOT identical to it, containing new results, extended discussions, and references.

19pp

References in corpus (3)

• Paragrassmann Analysis and Quantum Groups
• Quark solitons as constituents of hadrons
• GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus

Cited by in corpus (10)

• Generalized Grassmannian Coherent States For Pseudo-Hermitian $n$ Level Systems
• Double-graded quantum superplane
• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Nilpotent Classical Mechanics
• A Heisenberg double addition to the logarithmic Kazhdan--Lusztig duality
• Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
• Third order wave equation in Duffin-Kemmer-Petiau theory. Massive case
• Heisenberg double H(B^*) as a braided commutative Yetter-Drinfeld module algebra over the Drinfeld double
• Nilpotent Fuzz
• Q-boson coherent states and para-Grassmann variables for multi-particle states