Classical invariant theory for the quantum symplectic group

DOI10.1006/aima.1996.0067zbMath0928.17016OpenAlexW2053010980MaRDI QIDQ1816391

Elisabetta Strickland

Publication date: 6 June 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/51870

zbMATH Keywords

invariant theoryquantum symplectic group\(q\)-invariants\(q\)-Pfaffians

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representation theory for linear algebraic groups (20G05)

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The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras ⋮ Equivariant quantizations of symmetric algebras ⋮ The first and second fundamental theorems of invariant theory for the quantum general linear supergroup ⋮ Quantum hyperdeterminants and hyper-Pfaffians ⋮ Quantum Pfaffians and hyper-Pfaffians ⋮ A quantum analogue of the first fundamental theorem of classical invariant theory ⋮ On automorphisms of quantum Schubert cells ⋮ Cluster structures on quantum coordinate rings ⋮ \(R\)-matrix Poisson algebras and their deformations ⋮ Poisson structures on affine spaces and flag varieties. II

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