The Lie algebra of type \(G_2\) is rational over its quotient by the adjoint action

DOI10.1016/j.crma.2013.10.029zbMath1327.17016arXiv1308.5940OpenAlexW2964295246WikidataQ115358213 ScholiaQ115358213MaRDI QIDQ392602

Zinovy Reichstein, Mathieu Florence, David Anderson

Publication date: 14 January 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5940

zbMATH Keywords

adjoint representationsrationality conditions

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Rationality questions in algebraic geometry (14E08)

Cites Work

• Modular Lie algebras and the Gelfand-Kirillov conjecture
• Essential dimension: A functorial point of view (after A. Merkurjev)
• On the essential dimension of cyclic \(p\)-groups
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?
• Chern class formulas for $G_{2}$ Schubert loci
• Bounds for Behrend's Conjecture on the Canonical Reduction
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