On models of irreducible q- representations of sl(2, c)

DOI10.1080/00036819008839940zbMath0723.33013OpenAlexW2081147120MaRDI QIDQ3211625

H. L. Manocha

Publication date: 1990

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839940

zbMATH Keywords

fractional q-difference calculusq-representations of sl(2,C)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Fractional derivatives and integrals (26A33) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (5)

On irreducible p, q‐representations of Lie algebras \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,1)$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,0)$\end{document} ⋮ On \(q\)-special matrix functions using quantum algebraic techniques ⋮ On irreducible \(p,q\)-representations of gl(2). ⋮ On models of irreducible \(q\)-representations of the Lie algebra \(\mathcal G(0,1)\) ⋮ On models of irreducible p ,q -representations of gl (2) and p ,q -Mellin integral transformation

Cites Work

• Unnamed Item
• Group-theoretic origin of certain generating functions
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Lie theory and special functions
• Harmonic Analysis and Expansion Formulas for Two-Variable Hypergeometric Functions
• Lie Theory of Solutions of Certain Differintegral Equations
• Lie Theory and q-Difference Equations
• Fractional Derivatives and Leibniz Rule

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