This article is cited in 1 paper

Tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$

S. V. Lyudkovskii


Abstract: Computationally simple expressions are obtained for the matrix elements of the tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$ in bases of irreducible representations. They are obtained in the form of Bell polynomials of sums of powers of the hook lengths $p_{ij}$. Recursion relations and generating functions are also found. An example of the use of the obtained expressions in nuclear physics is given.

Received: 08.06.1989

 English version: Theoretical and Mathematical Physics, 1990, 82:3, 334–337

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