The algebra of Weyl symmetrised polynomials and its quantum extension

I. M. Gelfand; D. B. Fairlie

doi:10.1007/bf02099070

journal article Mar 01, 1991

The algebra of Weyl symmetrised polynomials and its quantum extension

I. M. Gelfand D. B. Fairlie

Communications in Mathematical Physics Vol. 136 No. 3 pp. 487-499 · Springer Science and Business Media LLC

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References

14

[1]

Weyl, H.: The theory of groups and quantum mechanics (1932) (reprinted Dover Publications)

[2]

Moyal, J.: Proc. Camb. Phil. Soc.45, 99–124 (1949); Baker, G.: Phys. Rev.109, 2198–2206 (1958); Fairlie, D. B.: Proc. Camb. Phil. Soc.60, 581–586 (1864) 10.1017/s0305004100000487

[3]

Gelfand, I. M., Dorfman, I. Ya., J. Funct. Anal. Appl.13, 248 (1980);14, 248 (1980);15, 173 (1981);16, 241 (1982). (Russian originals; Funksional'ni Analizi i ego Prilozhenia13, (4) 13–3? (1980);14, (3) 17–74 (1980)15 (3) 23–40 (1981);16, (4) 1–9 (1982) 10.1007/bf01078363

[4]

Fairlie, D. B., Fletcher, P., Zachos, C. K.: Phys. Lett.B218, 203 (1989); J. Math. Phys.31 1088 (1990); Fairlie, D. B., Zachos, C. K.: Phys. Lett.B224, 101 (1989). 10.1016/0370-2693(89)91418-4

[5]

Hoppe, J.: MIT thesis (1982).

[6]

Bakas, I.: The Structure of theW ∞ algebra, U. Maryland UMPP 90-085

[7]

Bender, C. M., Dunne, G.: Phys. Rev.D40, 3504 (1989) 10.1103/physrevd.40.3504

[8]

Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., Sternheimer, D.: Ann. Phys. N. Y.111, 61, 111 (1978); Averson, A.: Commun. Math. Phys.89, 77–102 (1983); Estrada, R., Garcia-Bondia, J. M., Varilly, J. C.: J. Math. Phys.30, 2789 (1989) 10.1016/0003-4916(78)90225-7

[9]

Drinfeld, V. G.: Sov. Math. Doklady27, 68 (1983)

[10]

Macfarlane: A. J.: J. Phys.A22, 4581 (1989); Biedenharn, L. C.: J. Phys.A22, L873 (1989); Floratos, E. C.: Phys. Lett233B, 395 (1989) 10.1088/0305-4470/22/21/020

[11]

Manin, Yu. I.: Annales de L'Institute Fourier, Grenoble37, 191 (1987); Commun. Math. Phys.123, 163 (1989) 10.5802/aif.1117

[12]

Zamolodchikov, A. B.: Teo. Mat. Fiz.65, 347 (1985); Fateev, V. A., Lykyanov S.: Int. J. Mod. Phys.A3, 507 (1988)

[13]

Pope, C. N., Romans, L. J., Shen, X.:W ∞ and the Racah-Wigner algebra, preprint, CTP TAMU-72/89, USC-89/HEP040

[14]

Bakas, I., Kiritsis, E.: Bosonic realisation of a universalW-algebra andZ ∞ parafermions, preprint, LBL-28714, UCB-PTH-90/8, UMD-PP90-160

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Details

Published: Mar 01, 1991
Vol/Issue: 136(3)
Pages: 487-499
License: View

Authors

I

I. M. Gelfand

Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom; Department of Mathematics, Rutgers University, Piscataway, NJ 08854; and Department of Health Informatics, School of Health-Related Professions, University of Medicine and Dentistry of New Jersey, Newark, NJ 07107

D

D. B. Fairlie

Cite This Article

I. M. Gelfand, D. B. Fairlie (1991). The algebra of Weyl symmetrised polynomials and its quantum extension. Communications in Mathematical Physics, 136(3), 487-499. https://doi.org/10.1007/bf02099070

The algebra of Weyl symmetrised polynomials and its quantum extension

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