Exterior differentials of higher order and their covariant generalization

DOI10.1063/1.533428zbMath0974.58007arXivmath/0004162OpenAlexW2070359963MaRDI QIDQ2738134

Viktor Abramov, Richard Kerner

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004162

zbMATH Keywords

commutation relationscovariant generalizationgeneralized \(q\)-exterior calculus

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Noncommutative geometry (à la Connes) (58B34)

Related Items (9)

Noncommutative Galois extension and graded \(q\)-differential algebra ⋮ d 3 =0,  d2=0 differential calculi on certain noncommutative (super) spaces ⋮ Ternary algebras associated with irreducible tensor representations of SO(3) and the quark model ⋮ Algebra of differential forms with exterior differential \(d^3=0\) in dimensions one and two. ⋮ Semi-commutative Galois Extension and Reduced Quantum Plane ⋮ Double-graded quantum superplane ⋮ On a graded q-differential algebra ⋮ Non-coordinate case of graded differential algebra with ternary differential ⋮ TERNARY AND NON-ASSOCIATIVE STRUCTURES

Cites Work

• Covariant \(q\)-differential calculus and its deformations at \(q^N=1\)
• Generalized Clifford algebras and hyperspin manifolds
• Differentials of higher order in noncommutative differential geometry
• Twisting of quantum differentials and the Planck scale Hopf algebra
• Canonical deformations of de Rham complexes
• \(\mathbb{Z}_ 3\)-graded exterior differential calculus and gauge theories of higher order
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry

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