G. E. Andrews, MacMahon's partition analysis. I. The lecture hall partition theorem, Mathematical essays in honor of Gian-Carlo Rota, Progr. Math, vol.161, pp.1-22, 1996.

H. Belbachir, A. Boussicault, and J. Luque, Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde, Journal of Algebra, vol.320, issue.11, 2007.
DOI : 10.1016/j.jalgebra.2008.06.015

URL : https://hal.archives-ouvertes.fr/hal-00173319

A. D. Berenstein and A. V. Zelevinsky, Tensor product multiplicities and convex polytopes in partition space, Journal of Geometry and Physics, vol.5, issue.3, pp.7-22, 1992.
DOI : 10.1016/0393-0440(88)90033-2

A. Cayley, On the theory of determinants, Transaction of the Cambridge Philosophical Society, pp.1-16

A. Cayley, Mémoire sur les hyperdéterminants, Journal für die reine und angewandte Mathematik, vol.30, issue.1846, pp.1-37

A. Debiard, Polynômes de Tchébychev et de Jacobi dans un espace euclidien de dimension p, C.R. Acad. Sci. Parsi (sé. I), vol.296, pp.529-532, 1983.

P. , D. Francesco, M. Gaudin, C. Itzykson, and F. Lesage, Laughlin's wave functions, Coulomb gases and expansions of the discriminant, Int. J. Mod. Phys. A, vol.9, pp.4257-4351, 1994.

H. Jack, Synopsis, Proc. R. Soc. Endinburgh (A), pp.1-18, 1970.
DOI : 10.1017/S001309150000211X

H. Jack, Synopsis, Proc. R; Soc. Edinburgh (A), pp.347-63, 1972.
DOI : 10.1214/aoms/1177703550

J. Keneko, Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials, SIAM Journal on Mathematical Analysis, vol.24, issue.4, pp.1086-1110, 1993.
DOI : 10.1137/0524064

R. C. King, F. Toumazet, and B. G. Wybourne, -generalization, Journal of Physics A: Mathematical and General, vol.37, issue.3, pp.735-767, 2004.
DOI : 10.1088/0305-4470/37/3/015

URL : https://hal.archives-ouvertes.fr/hal-00550791

A. Korányi, Hua-type integrals, hypergeomatric functions and symmetric polynomials, Proceeding of a Conference in Memory of L K Hua, 1998.

R. B. Laughlin, Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations, Physical Review Letters, vol.50, issue.18, pp.1395-1398, 1983.
DOI : 10.1103/PhysRevLett.50.1395

L. Lapointe, A. Lascoux, and J. Morse, Determinantal expression and recursion for Jack polynomials, Electon. J. Combin. 1, p.7, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00622766

A. Lascoux, Adding ±1 to the argument of a Hall-littlewood polynomial, Seminaire Lotharingien de Combinatoire 54, p.17, 2005.

A. Lascoux, Symmetric function and combinatorial operators on polynomials, CBMS 99, 2001.

A. Lascoux, Gaudin functions, and Euler-Poincaré characteristics

J. Luque and J. Thibon, Hankel hyperdeterminants and Selberg integrals, Journal of Physics A: Mathematical and General, vol.36, issue.19, pp.5267-5292, 2003.
DOI : 10.1088/0305-4470/36/19/306

URL : https://hal.archives-ouvertes.fr/hal-00622668

J. Luque and J. Thibon, Hyperdeterminantal calculations of Selberg's and Aomoto's integrals , Molecular Physics, pp.11-12, 2004.

S. Matsumoto, Two parameters circular ensembles and Jacobi-Trudi type formulas for Jack functions of rectangular shape, 2006.

I. G. Macdonald, Symmetric functions and Hall polynomials, second edition, 1995.

L. H. Rice, P-Way Determinants, with an Application to Transvectants, American Journal of Mathematics, vol.40, issue.3, pp.242-262, 1918.
DOI : 10.2307/2370483

T. Scharf, J. Thibon, and B. G. Wybourne, Powers of the Vandermonde determinant and the quantum Hall effect, Journal of Physics A: Mathematical and General, vol.27, issue.12, pp.4211-4219, 1994.
DOI : 10.1088/0305-4470/27/12/026

J. Sekiguchi, Zonal spherical functions on some symmetric spaces, Publications of the Research Institute for Mathematical Sciences, vol.12, pp.455-459, 1977.
DOI : 10.2977/prims/1195196620

A. Selberg, Bemerkninger om et multiplet integral, Norsk Mathematisk Tidsskrift, vol.26, pp.71-78, 1944.

N. P. Sokolov, Spatial matrices and their applications (in Russian), Gosudarstv. Izdat. Fiz.-Mat. Lit, 1960.