# LETTER TO THE EDITOR: The generating function for a particular class of characters of SU(n)

@article{Fuertes2002LETTERTT, title={LETTER TO THE EDITOR: The generating function for a particular class of characters of SU(n)}, author={W. Garc{\'i}a Fuertes and Askold M. Perelomov}, journal={Journal of Physics A}, year={2002} }

We compute the generating function for the characters of the irreducible representations of SU(n) whose associated Young diagrams have only two rows with the same number of boxes. The result is given by formulae (11), (14), (25)–(27) and is a rational determinantal expression in which both the numerator and the denominator have a simple structure when expressed in terms of Schur polynomials.

## References

SHOWING 1-10 OF 20 REFERENCES

### LETTER TO THE EDITOR: Explicit solution of the quantum three-body Calogero - Sutherland model

- Mathematics
- 1998

The class of quantum integrable systems associated with root systems was introduced by Olshanetsky and Perelomov as a generalization of the Calogero - Sutherland systems. It was recently shown by one…

### The classical groups : their invariants and representations

- Mathematics
- 1940

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from…

### Symmetric functions and Hall polynomials

- Mathematics
- 1979

I. Symmetric functions II. Hall polynomials III. HallLittlewood symmetric functions IV. The characters of GLn over a finite field V. The Hecke ring of GLn over a finite field VI. Symmetric functions…

### Derivatives of Generalized Gegenbauer Polynomials

- Mathematics
- 2002

We prove some new formulas for the derivatives of the generalized Gegenbauer polynomials associated with the Lie algebra A2.

### Math. Soc

- Math. Soc
- 1949

### Lie Theory and its Applications in Physics III: Proceedings of the Third International Workshop

- Physics
- 2000

### Solution of the One‐Dimensional N‐Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

- Mathematics
- 1971

The quantum‐mechanical problems of N 1‐dimensional equal particles of mass m interacting pairwise via quadratic (``harmonical'') and/or inversely quadratic (``centrifugal'') potentials is solved. In…