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math.RT2015
Slices for maximal parabolic subalgebras of a semisimple Lie algebra
Florence Fauquant-Millet, Polyxeni Lamprou
Let p be a maximal truncated parabolic subalgebra of a simple Lie Algebra. It was shown in many cases that the Poisson centre Y(p) is a polynomial algebra. We construct a slice for…
math.RT2015★ 3 cited
Adapted pairs and Weierstrass sections
Florence Fauquant-Millet, Anthony Joseph
Adapted pairs and Weierstrass sections are central to the invariant theory associated to the action of an algebraic Lie algebra a on a finite dimensional vector space X. In this a…