Determinantal expression and recursion for Jack polynomials

Electronic Journal of Combinatorics

Volumn 7, Issue 1 N, 2000, Pages 1-7

  Lapointe, Luc ^a   Lascoux, A ^b   Morse, J ^c  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b Université de Marne la Vallée   (France)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041303817     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. F. Knop and S. Sahi, A recursion and a combinatorial formula for the Jack polynomials, Invent. Math. 128, 9-22 (1997).
2. L. Lapointe, A. Lascoux and J. Morse, Determinantal expressions for Macdonald polyomials, International Mathematical Research Notices, 18 (1998) 957-978.
3. M.A. Hyman, Eigenvalues and eigenvectors of general matrices, Twelfth National Meeting, A.C.M., Houston, TX (1957).
4. I. G. Macdonald, Symmetric functions and Hall polynomials, 2nd edition, Clarendon Press, Oxford, (1995).
5. K. Sogo, Eigenstates of Calogero-Sutherland-Moser model and generalized Schur functions, J. Math. Phys. 35 (1994), 2282-2296.
6. R. P. Stanley, Some combinatorial properties of Jack symmetric functions, Adv. Math. 77 (1988), 76-115.
7. B. Sutherland, Quantum many-body problem in one dimension, I, II, J. Math. Phys. 12 (1971), 246-250.
8. J.H. Wilkinson, The Algebraic Eigenvalues Problem, Claredon Press, Oxford, (1965), 426-427.