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Abstract
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Let
be a simple
Lie algebra. There are classical formulas for the Jacobians of the generating invariants of the
Weyl group of
and of the images under the Harish-Chandra projection of the generators of the centre
. We
present a modification of these formulas related to Takiff Lie algebras.
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Keywords
Takiff Lie algebras, symmetric invariants, Jacobian,
Harish-Chandra projection
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Mathematical Subject Classification 2010
Primary: 17B20, 17B35, 17B70
Secondary: 22E47
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Milestones
Received: 7 December 2018
Revised: 13 December 2019
Accepted: 2 January 2020
Published: 14 June 2020
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