Czechoslovak Mathematical Journal, online first, 7 pp.

Further determinant identities related to classical root systems

Wenchang Chu

Received May 27, 2016.   First published August 15, 2017.

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

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 2010): 05E05, 15A15

DOI: 10.21136/CMJ.2017.0265-16

Full text available as PDF.


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