Angular momentum theory, umbral calculus, and combinatorics

DOI10.1016/S0898-1221(01)00091-8zbMath0983.05010OpenAlexW1982065165WikidataQ127883427 ScholiaQ127883427MaRDI QIDQ5948781

William Y. C. Chen, James D. Louck, Harold W. Galbraith

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00091-8

zbMATH Keywords

unitary groupumbral calculusClebsch-Gordon coefficientsunitary irreducible representationscomposite systemsMacMahon's master theorem

Mathematics Subject Classification ID

Umbral calculus (05A40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

• Determinant, permanent, and MacMahon's master theorem
• A combinatorial approach to matrix algebra
• Matching theory
• The combinatorics of a class of representation functions
• A simple proof of an identity concerning Pfaffians of skew symmetric matrices
• MacMahon's master theorem, double tableau polynomials, and representations of groups
• Power of a determinant with two physical applications
• The invariant theory of binary forms
• Immanants, Schur Functions, and the Macmahon Master Theorem
• The Classical Umbral Calculus
• A combinatorial proof of Cayley's theorem on Pfaffians
• A theorem on Pfaffians
• Theory of Complex Spectra. IV
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