Special functions and infinite-dimensional representations of Lie groups

DOI10.1007/BF02570729zbMath0663.33005WikidataQ115392005 ScholiaQ115392005MaRDI QIDQ1114051

Philip Feinsilver, René Schott

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174120

zbMATH Keywords

nilpotent groupsoperator algebras

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

Formal power series, operator calculus, and duality on Lie algebras ⋮ Differential Relations and Recurrence Formulas for Representations of Lie Groups

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Discrete analogues of the Heisenberg-Weyl algebra
• Quantum deformations of certain simple modules over enveloping algebras
• Lie theory and special functions
• Filtrations and Canonical Coordinates on Nilpotent Lie Groups
• On the Poincaré-Birkhoff-Witt theorem

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