Clifford algebras of polynomials, generalized Grassmann algebras and \(q\)-deformed Heisenberg algebras

zbMath0841.15023arXivhep-th/9404057MaRDI QIDQ1910138

Michel Rausch de Traubenberg

Publication date: 1994

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9404057

zbMATH Keywords

Heisenberg algebraYang-Baxter equationquantum groupsquantum algebrassuperalgebrasHopf algebraexterior algebraGrassmann algebraClifford algebra of polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Clifford algebras, spinors (15A66) Exterior algebra, Grassmann algebras (15A75)

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Complex Ternary Analysis and Applications ⋮ Fischer decomposition in generalized fractional ternary Clifford analysis ⋮ 2D fractional supersymmetry and conformal field theory for alternative statistics ⋮ Generalized Grassmann algebras and applications to stochastic processes ⋮ Differential calculi on \(\mathbb Z_3\)-graded Grassmann plane ⋮ Ternary Clifford algebras ⋮ Two-sided ideals in \(q\)-deformed Heisenberg algebras. ⋮ Random Walk and Diffusion on a Smash Line Algebra ⋮ Star product for para-Grassmann algebra of order two ⋮ On quantum mechanics and generalized Clifford algebras ⋮ On generalized Clifford algebra \(C_4^{(n)}\) and \(GL_q (2; \mathbb{C})\) quantum group ⋮ On linear differential equations with variable coefficients involving a para-Grassmann variable

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