A trace formula for semi-simple Lie algebras
Annales de l'I.H.P. Physique théorique (1980)
- Volume: 32, Issue: 3, page 203-219
- ISSN: 0246-0211
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topGould, M. D.. "A trace formula for semi-simple Lie algebras." Annales de l'I.H.P. Physique théorique 32.3 (1980): 203-219. <http://eudml.org/doc/76071>.
@article{Gould1980,
author = {Gould, M. D.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {trace formula; semi-simple Lie algebras; Harish-Chandra homomorphism; invariants},
language = {eng},
number = {3},
pages = {203-219},
publisher = {Gauthier-Villars},
title = {A trace formula for semi-simple Lie algebras},
url = {http://eudml.org/doc/76071},
volume = {32},
year = {1980},
}
TY - JOUR
AU - Gould, M. D.
TI - A trace formula for semi-simple Lie algebras
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 32
IS - 3
SP - 203
EP - 219
LA - eng
KW - trace formula; semi-simple Lie algebras; Harish-Chandra homomorphism; invariants
UR - http://eudml.org/doc/76071
ER -
References
top- [1] H. Casimir, Proc. Koninkl. Akad. Amsterdam, t. 34, 1931, p. 844. Zbl0002.26503
- [2] G. Racah, Rend. Atti. Accad. Naz. Lincei, t. 8, 1950, p. 108. Zbl0036.15601MR35771
- [3] I.M. Gel'fand, Mat. Sbovnik, t. 26 (68), Nr. 1, 1950, p. 103. Zbl0035.30001MR33831
- [4] C. Chevalley, Amer. J. Math., t. 77, 1955, p. 778. Zbl0065.26103MR72877
- [5] A. Klein, J. Math. Plays., t. 10, 1963, p. 1283.
- L.C. Biedenharn, J. Math. Phys., t. 4, 1963, p. 436. Zbl0132.44301MR147582
- V. Bargmann and M. Moshinsky, Nucl. Phys., t. 18, 1960, p. 697. Zbl0096.23902MR121199
- B. Gruber and L. O'Raiffeartaigh, J. Math. Phys., t. 5, 1964, p. 1796. Zbl0124.17401
- [6] V.S. Popov and A.M. Perelomov, Sov. J. Nucl. Phys., t. 5, 1967, p. 489
- and V.S. Popov and A.M. Perelomov, Sov. J. Nucl. Phys., t. 3, 1966, p. 676. MR205620
- J.D. Louck and L.C. Biedenharn, J. Math. Phys., t. 11, 1970, p. 2368. Zbl0196.14501MR297237
- M.C.K. Aguilera-Navarro and V.C. Aguilera-Navarro, J. Math. Phys., t. 17, 1976, p. 1173. Zbl0332.22020
- M.K.F. Wong and H.Y. Yeh, J. Math. Phys., t. 16, 1975, p. 1239. Zbl0308.22021MR382556
- C.O. Nwachuka and M.A. Rashid, J. Math. Phys., t. 17, 1976, p. 1611. Zbl0336.22011
- H.S. Green, J. Austral. Math. Soc., t. 19 (Series B), 1975, p. 129. Zbl0359.17002MR376844
- [7] I.N. Bernstein, I.M. Gel'fand and S.I. Gel'fand, J. Funct. Anal., t. 5, 1971, p. 1. Zbl0246.17008
- [8] B. Kostant, J. Funct. Anal., t. 20, 1975, p. 257. Zbl0355.17010
- [9] S. Okubo, J. Math. Phys., t. 12, 1977, p. 2382.
- [10] S.A. Edwards, J. Math. Phys., t. 1, 1978, p. 164. Zbl0366.22014
- [11] J.D. Louck and L.C. Biedenharn, J. Math. Phys., t. 11, 1970, p. 2368 (See Appendix B). Zbl0196.14501MR297237
- [12] A.U. Klimyk, Trans. Amer. Math. Soc., t. 76, 1968. Zbl0188.29603
- [13] J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, Heidelberg, Berlin, 1972. Zbl0254.17004MR323842
- [14] J. Dixmier, Enveloping Algebras, North-Holland Publ., Amsterdam, New York, Oxford. Zbl0339.17007MR498740
- [15] R. Steinberg, Bull. Amer. Math. Soc., t. 67, 1961, p. 406. Zbl0115.25605MR126508
- [16] B. Kostant, Trans. Amer. Math. Soc., t. 93, 1959, p. 53. Zbl0131.27201MR109192
- [17] M.D. Gould, On the Matrix Elements of the U(N) Generators, submitted to J. Math. Phys., and Zbl0505.22019
- M.D. Gould, An Infinitesimal Approach to Semi-Simple Lie Groups and Raising and Lowering Operators of O(N) and U(N), to appear in J. Math. Phys. Zbl0445.22010MR562988
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