The Symmetric Group and the Gel'fand Basis of U(3). Generalizations of the Dirac Identity

DOI10.1063/1.1666151zbMath0245.20041OpenAlexW2038503109WikidataQ62029036 ScholiaQ62029036MaRDI QIDQ5656940

K. J. Lezuo

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1666151

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Applications of linear algebraic groups to the sciences (20G45)

Related Items (1)

Projected basis set for the irreducible representation {2N/2−S,12S}ofU(n)

Cites Work

• 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
• Gelfand States and the Irreducible Representations of the Symmetric Group
• On the Representations of the Semisimple Lie Groups. V. Some Explicit Wigner Operators for SU3
• Group Algebra, Convolution Algebra, and Applications to Quantum Mechanics
• Combinatorial Structure of State Vectors in Un. I. Hook Patterns for Maximal and Semimaximal States in Un
• On the Combinatorial Structure of State Vectors in U(n). II. The Generalization of Hypergeometric Functions on U(n) States
• Theory of Complex Spectra. IV

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