Colour calculus and colour quantizations

DOI10.1007/BF00996113zbMath0846.18006OpenAlexW4241685582MaRDI QIDQ1903563

Valentin V. Lychagin

Publication date: 16 September 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00996113

zbMATH Keywords

monoidal categoriesgroup algebrascrossed productsderivationsJacobi identitiesskew-symmetryquantizationscolourscolour calculuscolour commutative algebracolour differential formcolour differential operator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) KdV equations (Korteweg-de Vries equations) (35Q53) Supermanifolds and graded manifolds (58A50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations on manifolds; differential operators (58J99) Derivations, actions of Lie algebras (16W25) Geometric quantization (53D50) Lie algebras and Lie superalgebras (17B99) Enriched categories (over closed or monoidal categories) (18D20) General topics in partial differential equations (35A99)

Related Items (10)

The category of Z2n-supermanifolds ⋮ GRADED POISSON STRUCTURES AND SCHOUTEN–NIJENHUIS BRACKET ON ALMOST COMMUTATIVE ALGEBRAS ⋮ Unnamed Item ⋮ 2-ρ-DERIVATIONS ON A ρ-ALGEBRA AND APPLICATIONS TO THE QUATERNIONIC ALGEBRA ⋮ A series of algebras generalizing the octonions and Hurwitz-Radon identity ⋮ Higher trace and Berezinian of matrices over a Clifford algebra ⋮ LEVI–CIVITA CONNECTION ON ALMOST COMMUTATIVE ALGEBRAS ⋮ Simple graded commutative algebras. ⋮ Algebraic theories of brackets and related (co)homologies ⋮ Fields and forms on \(\rho\)-algebras.

Cites Work

• Graded Lie-Cartan pairs. II: The fermionic differential calculus
• Notes on quantum groups and quantum de Rham complexes
• Almost commutative algebra and differential calculus on the quantum hyperplane
• Covariant differential calculus on the quantum hyperplane
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