Lie algebras and recurrence relations. I

zbMath0675.33007MaRDI QIDQ1122039

Philip Feinsilver

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

lowering operatorsraising operators

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Lie algebras and recurrence relations IV: Representations of the Euclidean group and Bessel functions, Transmutations from the covariant transform on the Heisenberg group and an extended umbral principle, Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs, Mutual integrability, quadratic algebras, and dynamical symmetry