q -conformal invariant equations and q-plane wave solutions

DOI10.1063/1.1790049zbMath1071.81062arXivmath/0404493OpenAlexW1990218078MaRDI QIDQ4833513

S. T. Petrov, Vladimir K. Dobrev

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0404493

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of basic hypergeometric functions (33D90)

Cites Work

• Canonical construction of differential operators intertwining representations of real semisimple Lie groups
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• \(q\)-difference intertwining operators and \(q\)-conformal invariant equations
• Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
• Examples of braided groups and braided matrices
• A q-deformed Lorentz algebra
• q-Euclidean space and quantum Wick rotation by twisting
• Subsingular vectors and conditionally invariant (q-deformed) equations
• q-difference intertwining operators for U_q(sl(n)): general setting and the case n=3
• \(q\)-plane wave solutions of \(q\)-deformed equations with quantum conformal symmetry

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