On Gel’fand states of representations of U(n) and the Gel’fand lattice polynomials

DOI10.1063/1.524640zbMath0447.22010OpenAlexW2013549257MaRDI QIDQ3892455

Christopher J. Henrich

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524640

zbMATH Keywords

U(n)Gel'fand statespolynomial functions of the matrix elements

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Group theory of harmonic oscillators
• The Gel’fand states of certain representations of U (n) and the decomposition of products of representations of U (2)
• Gel’fand lattice polynomials and irreducible representations of U(n)
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On the Representations of the Semisimple Lie Groups. II
• Bases for the Irreducible Representations of the Unitary Groups and Some Applications
• Group Theory of Harmonic Oscillators in n-Dimensional Space
• THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS
• Finite-dimensional irreducible representations of the unitary and the full linear groups, and related special functions
• On the Combinatorial Structure of State Vectors in U(n). II. The Generalization of Hypergeometric Functions on U(n) States

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