@article{AIHPA_1980__32_3_203_0,
author = {Gould, M. D.},
title = {A trace formula for semi-simple {Lie} algebras},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {203--219},
year = {1980},
publisher = {Gauthier-Villars},
volume = {32},
number = {3},
mrnumber = {579960},
zbl = {0437.17001},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1980__32_3_203_0/}
}
TY - JOUR AU - Gould, M. D. TI - A trace formula for semi-simple Lie algebras JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1980 SP - 203 EP - 219 VL - 32 IS - 3 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1980__32_3_203_0/ LA - en ID - AIHPA_1980__32_3_203_0 ER -
Gould, M. D. A trace formula for semi-simple Lie algebras. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 32 (1980) no. 3, pp. 203-219. https://www.numdam.org/item/AIHPA_1980__32_3_203_0/
[1] , Proc. Koninkl. Akad. Amsterdam, t. 34, 1931, p. 844. | Zbl
[2] , Rend. Atti. Accad. Naz. Lincei, t. 8, 1950, p. 108. | Zbl | MR
[3] , Mat. Sbovnik, t. 26 (68), Nr. 1, 1950, p. 103. | Zbl | MR
[4] , Amer. J. Math., t. 77, 1955, p. 778. | Zbl | MR
[5] , J. Math. Plays., t. 10, 1963, p. 1283.
, J. Math. Phys., t. 4, 1963, p. 436. | Zbl | MR
and , Nucl. Phys., t. 18, 1960, p. 697. | Zbl | MR
and , J. Math. Phys., t. 5, 1964, p. 1796. | Zbl
[6] and , Sov. J. Nucl. Phys., t. 5, 1967, p. 489
and and , Sov. J. Nucl. Phys., t. 3, 1966, p. 676. | MR
and , J. Math. Phys., t. 11, 1970, p. 2368. | Zbl | MR
and , J. Math. Phys., t. 17, 1976, p. 1173. | Zbl
and , J. Math. Phys., t. 16, 1975, p. 1239. | Zbl | MR
and , J. Math. Phys., t. 17, 1976, p. 1611. | Zbl
, J. Austral. Math. Soc., t. 19 (Series B), 1975, p. 129. | Zbl | MR
[7] , and , J. Funct. Anal., t. 5, 1971, p. 1. | Zbl
[8] , J. Funct. Anal., t. 20, 1975, p. 257. | Zbl
[9] , J. Math. Phys., t. 12, 1977, p. 2382.
[10] , J. Math. Phys., t. 1, 1978, p. 164. | Zbl
[11] and , J. Math. Phys., t. 11, 1970, p. 2368 (See Appendix B). | Zbl | MR
[12] , Trans. Amer. Math. Soc., t. 76, 1968. | Zbl
[13] , Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, Heidelberg, Berlin, 1972. | Zbl | MR
[14] , Enveloping Algebras, North-Holland Publ., Amsterdam, New York, Oxford. | Zbl | MR
[15] , Bull. Amer. Math. Soc., t. 67, 1961, p. 406. | Zbl | MR
[16] , Trans. Amer. Math. Soc., t. 93, 1959, p. 53. | Zbl | MR
[17] , On the Matrix Elements of the U(N) Generators, submitted to J. Math. Phys., and | Zbl
, 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. | Zbl | MR





