On a computation formula for the representation matrices of U(n)

DOI10.1063/1.526762zbMath0575.22018OpenAlexW2005301678MaRDI QIDQ3695505

Takayoshi Maekawa

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526762

zbMATH Keywords

irreducible representationYoung tableauxweightlowering operatorsmatrix elementU(n)D-matrix

Mathematics Subject Classification ID

Nuclear physics (81V35) 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

• On the computation formulas of the SO(n−1,1) representation matrix elements
• Explicit form of the Haar measure of U(n) and differential operators
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Finite Transformations of SU3

This page was built for publication: On a computation formula for the representation matrices of U(n)