Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations)

DOI10.1016/0021-8693(89)90043-4zbMath0688.14042OpenAlexW2049430209MaRDI QIDQ1263636

Peter Littelmann

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90043-4

zbMATH Keywords

theory of invariantscoregular representationsirreducible representation of semisimple algebraic groupquotient of algebraic group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35) Other algebraic groups (geometric aspects) (14L40)

Related Items (19)

When is a ring of torus invariants a polynomial ring? ⋮ Representations of quivers with free module of covariants. ⋮ Polar symplectic representations ⋮ On complex weakly commutative homogeneous spaces ⋮ Lifting free divisors ⋮ Der Grad erzeugender Funktionen von Invariantenringen. (The degree of generating functions of rings of invariants) ⋮ Classification of multiplicity free symplectic representations ⋮ Semi-direct products of Lie algebras and covariants ⋮ Lifting differential operators from orbit spaces ⋮ Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists ⋮ Existence of locally maximally entangled quantum states via geometric invariant theory ⋮ Symmetric invariants related to representations of exceptional simple groups ⋮ Linear models for reductive group actions on affine quadrics ⋮ The zero set of semi-invariants for extended Dynkin quivers ⋮ The \(3\times 3\times 3\) hyperdeterminant as a polynomial in the fundamental invariants for \(\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\) ⋮ What fraction of an \(S_n\)-orbit can lie on a hyperplane? ⋮ A Proof of the Popov Conjecture for Tori ⋮ On the zero set of semi-invariants for quivers ⋮ Left-symmetric algebras for 𝔤𝔩(𝔫)

Cites Work

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• Über die Glattheit von Quotientenabbildungen. (On the smoothness of quotient maps)
• Polar representations
• Spinors of 13-dimensional space
• Some remarks on nilpotent orbits
• Lifting smooth homotopies of orbit spaces
• Some quotient surfaces are smooth
• Representations with a free module of covariants
• Representations of simple Lie groups with regular rings of invariants
• Representations of simple Lie groups with a free module of covariants
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
• Stationary subalgebras of points of the common state for irreducible linear Lie groups
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• THE WEYL GROUP OF A GRADED LIE ALGEBRA

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