Takiff algebras with polynomial rings of symmetric invariants

2017/10/09 by Panyushev, Dmitri, Yakimova, Oksana · 2 citations
#14L30 #17B08 #17B20 #22E46 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1710.03180

Abstract

Extending results of Rais-Tauvel, Macedo-Savage, and Arakawa-Premet, we prove that under mild restrictions on the Lie algebra \mathfrak q having the polynomial ring of symmetric invariants, the m-th Takiff algebra of \mathfrak q, \mathfrak q⟨ m⟩, also has a polynomial ring of symmetric invariants.

Cited by

• Invariants of twisted current algebras and related Poisson-commutative subalgebras
• Relative modality of elements in generalized Takiff Lie algebras

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