Invariants of the adjoint action in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn

Details Invariants of the adjoint action in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn Invariants of the adjoint action in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn

2012-03-14

arxiv.org/abs/1203.3001v1

Mathematics

Representation Theory

Scientific paper

We study invariants of the adjoint action of the unipotent group in the nilradical of a parabolic subalgebra of types Bn, Cn, Dn. We introduce the notion of expanded base in the set of positive roots and construct an invariant for every root of the expanded base. We prove that these invariants are algebraically independent. We also give an estimate of the transcendence degree of the invariant field.

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