Keywords: Vandermonde determinant; symmetric function; classical root system
@article{10_21136_CMJ_2017_0265_16,
author = {Chu, Wenchang},
title = {Further determinant identities related to classical root systems},
journal = {Czechoslovak Mathematical Journal},
pages = {981--987},
year = {2017},
volume = {67},
number = {4},
doi = {10.21136/CMJ.2017.0265-16},
mrnumber = {3736013},
zbl = {06819567},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0265-16/}
}
TY - JOUR AU - Chu, Wenchang TI - Further determinant identities related to classical root systems JO - Czechoslovak Mathematical Journal PY - 2017 SP - 981 EP - 987 VL - 67 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0265-16/ DO - 10.21136/CMJ.2017.0265-16 LA - en ID - 10_21136_CMJ_2017_0265_16 ER -
%0 Journal Article %A Chu, Wenchang %T Further determinant identities related to classical root systems %J Czechoslovak Mathematical Journal %D 2017 %P 981-987 %V 67 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0265-16/ %R 10.21136/CMJ.2017.0265-16 %G en %F 10_21136_CMJ_2017_0265_16
Chu, Wenchang. Further determinant identities related to classical root systems. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 981-987. doi: 10.21136/CMJ.2017.0265-16
[1] Bhatnagar, G.: A short proof of an identity of Sylvester. Int. J. Math. Math. Sci. 22 (1999), 431-435. | DOI | MR | JFM
[2] Chu, W.: Divided differences and symmetric functions. Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2 (1999), 609-618. | MR | JFM
[3] Chu, W.: Determinants and algebraic identities associated with the root systems of classical Lie algebras. Commun. Algebra 42 (2014), 3619-3633. | DOI | MR | JFM
[4] Chu, W., Claudio, L. V. Di: The Vandermonde determinant and generalizations associated with the classical Lie algebras. Ital. J. Pure Appl. Math. 20 (2006), 139-158 Italian. | MR | JFM
[5] Dyson, F. J.: Statistical theory of the energy levels of complex systems. I. J. Math. Phys. 3 (1962), 140-156. | DOI | MR | JFM
[6] Fulton, W., Harris, J.: Representation Theory. Graduate Texts in Mathematics 129, Springer, New York (1991). | DOI | MR | JFM
[7] Good, I. J.: Short proof of a conjecture by Dyson. J. Math. Phys. 11 (1970), 1884. | DOI | MR
[8] Gross, K. I., Richards, D. St. P.: Constant term identities and hypergeometric functions on spaces of Hermitian matrices. J. Stat. Plann. Inference 34 (1993), 151-158. | DOI | MR | JFM
[9] Macdonald, I. G.: Symmetric Functions and Hall Polynomials. Oxford Mathematical Monographs, Clarendon Press, Oxford (1979). | MR | JFM
Cité par Sources :