Superanalogs of the calogero operators and jack polynomials

Journal of Nonlinear Mathematical Physics

Volumn 8, Issue 1, 2001, Pages 59-64

  Sergeev, A ^a,b  

^a STOCKHOLM UNIVERSITY   (Sweden)

^b SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035580542     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.1.7     Document Type: Article

References (11)

1. Dixmier, J. 1974. Algèbres Envellopentes, Paris:Gautier-Villars. Enveloping algebras, AMS, 1996
2. Veselov, A, Feigin, M, and Chalykh, O. 1996. New Integrable Deformations of the Quantum Calogero– Moser Problem. Uspehi Mat. Nauk, 51(3):185–186. (in Russian)
3. Chalykh, O, Feigin, M, and Veselov, A. 1999. Multidimesional Baker –Akhiezer Functions and Huygens’ Principle. Comm. Math. Phys., 206(3):533–566.
4. Kirillov A, (jr.), Traces of Intertwining Operators and Macdonald’s Polynomials, Ph.D. thesis, q-alg/9503012
5. Kerov, S, Okunkov, A, and Olshanskii, G. 1998. The Boundary of the Young Graph with Jack Edge Multipliers. Internat. Research Notes,:173–199.
6. Lapoint, L, and Vinet, L. 1996. Exact Operator Solutions of the Calogero–Sutherland Model. Comm. Math. Phys., 178(2):425–452.
7. Macdonald, I. 1995. Symmetric Functions and Hall Polynomials, 2nd, Oxford Univ. Press.
8. Olshanetsky, M, and Perelomov, A. 1983. Quantum Integrable Systems Related to Lie Algebras. Phys. Rep., 94(6):313–404.
9. Sergeev, A N. 1985. The Tensor Algebra of the Identity Representation as a Module over the Lie Superlgebras GL(n, m) and Q(n). Math. USSR Sbornik, 51:419–427.
10. Sergeev A, An Analog of the Classical Invariant Theory for Lie Superalgebras. I, II, math.RT/9810111; math.RT/9904079; Michigan J. Mathematics, 2001 (to appear)
11. Stanley, R. 1996. Some Combinatorial Properties of Jack Symmetric Functions. Adv. Math., 77:76–115.