Twisted exterior derivative for universal enveloping algebras 𝐈

DOI10.1090/conm/768/15469OpenAlexW3162152210MaRDI QIDQ5043396

Zoran Škoda

Publication date: 21 October 2022

Published in: Lie Groups, Number Theory, and Vertex Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0978

zbMATH Keywords

universal enveloping algebrastar productexterior calculusexterior derivativedeformed Leibniz rule

Mathematics Subject Classification ID

Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30) Hopf algebras and their applications (16T05)

Cites Work

• Lie algebra type noncommutative phase spaces are Hopf algebroids
• A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra
• New realizations of Lie algebra kappa-deformed Euclidean space
• Universal representations of Lie algebras by coderivations.
• Hopf algebroid twists for deformation quantization of linear Poisson structures
• DIFFERENTIAL STRUCTURE ON κ-MINKOWSKI SPACE, AND κ-POINCARÉ ALGEBRA
• HEISENBERG DOUBLE VERSUS DEFORMED DERIVATIVES
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