Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple

DOI10.5802/aif.902zbMath0475.14038OpenAlexW2057855174MaRDI QIDQ1159740

Michel Brion

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_1_1_0

zbMATH Keywords

rational singularitiesPoincare seriesHilbert-Mumford criterionaction of algebraic complex semi-simple groupinvariant of unipotent subgroup

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (23)

Series of Lie groups ⋮ Représentations exceptionnelles des groupes semi-simples ⋮ A restriction theorem and the Poincaré series for \(U\)-invariants ⋮ On spin \(L\)-functions for orthogonal groups ⋮ Reductive group actions on affine varieties and their doubling ⋮ New dual pair correspondences ⋮ Local cohomology on a subexceptional series of representations ⋮ Partial differential equation approach to \(F_4\) ⋮ On certain Rankin-Selberg Integrals on GE₆ ⋮ A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\) ⋮ A doubling integral for \(G_2\) ⋮ Semi-direct products of Lie algebras and their invariants ⋮ Actions of ``nilpotent tori on \(G\)-varieties. ⋮ Completing the classification of representations of \(SL_n\) with complete intersection invariant ring ⋮ Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀ ⋮ Complexity and rank of actions in invariant theory ⋮ A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\) ⋮ Invariants of a maximal unipotent subgroup and equidimensionality ⋮ A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions ⋮ EQUIVARIANT -MODULES ON ALTERNATING SENARY 3-TENSORS ⋮ Algebraic geometry - 8 ⋮ Partial differential equation approach to \(E_7\)

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