Czechoslovak Mathematical Journal, Vol. 67, No. 4, pp. 981-987, 2017
Further determinant identities related to classical root systems
Wenchang Chu
Received May 27, 2016. First published August 15, 2017.
Abstract: By introducing polynomials in matrix entries, six determinants are evaluated which may be considered extensions of Vandermonde-like determinants related to the classical root systems.
Keywords: Vandermonde determinant; symmetric function; classical root system
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Affiliations: Wenchang Chu, School of Mathematics and Statistics, Zhoukou Normal University, Wenchang Road, Zhoukou 466001, Henan, People's Republic of China, and Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento, Via Prov. Lecce-Arnesano, P. O. Box 193, Lecce 73100, Italia, e-mail: chu.wenchang@unisalento.it
