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
Classification MSC:  05E05, 15A15
DOI:  10.21136/CMJ.2017.0265-16

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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", Universit√† del Salento, Via Prov. Lecce-Arnesano, P. O. Box 193, Lecce 73100, Italia, e-mail: chu.wenchang@unisalento.it

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