Vector invariants of the groups \(\text{GL}(n,\mathbb{C}[[t]])\) and \(\text{Sp}(2m,\mathbb{C}[[t]])\)

DOI10.1007/BF01075053zbMATH Open0820.22010OpenAlexW2091874902MaRDI QIDQ1320682

V. Pereyra

Publication date: 18 May 1994

Published in: Functional Analysis and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075053

zbMATH Keywords

local invariantsTaylor seriesbasic variantschanges of coordinatesring of \(G\)-invariant polynomial functions

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Group actions on varieties or schemes (quotients) (14L30) Loop groups and related constructions, group-theoretic treatment (22E67) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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Related Items (3)

Title not available (Why is that?) ⋮ Algebra of invariants for the action of the group \(Sp(2m)\) on the algebra \(\otimes^ \infty_ 1 M_{2m} \mathbb{C}\) ⋮ A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\)

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