Good properties of algebras of invariants and defect of linear representations.
Panyushev, Dmitri (1995)
Journal of Lie Theory
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Displaying similar documents to “On representations of with algebras of invariants being complete intersections.”
Good properties of algebras of invariants and defect of linear representations.
Reciprocity theorems in the theory of representations of groups and algebras
Antoni Wawrzyńczyk
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ContentsIntroduction .............................................................................................................................................................................. 51. Regular representations of algebras with approximate unit. A duality theorem..................................................... 92. Induced representations of algebras. The main duality............................................................................................. 203. Specialization;...
K-Invariants in the universal enveloping algebra of the Desitter Group.
Alfredo Brega, Juan Tirao (1987)
Manuscripta mathematica
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On some invariants of unary algebras
Oldřich Kopeček, Miroslav Novotný (1974)
Czechoslovak Mathematical Journal
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Correspondence between representations of the dual reductive pair and .
Piatetski-Shapiro, Ilya I., Teicher, Mina (1997)
Beiträge zur Algebra und Geometrie
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Representations of a reductive algebraic group whose algebras of invariants are complete intersections.
Haruhisa Nakajima (1986)
Journal für die reine und angewandte Mathematik
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Commutativity of the Schur algebra.
Teicher, Mina (1997)
Beiträge zur Algebra und Geometrie
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Family algebras.
Kirillov, A.A. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Maximal indexes of Tits algebras.
Merkurjev, A.S. (1996)
Documenta Mathematica
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Group Representations which Vanish at Infinity.
Keith F. Taylor (1980)
Mathematische Annalen
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Representations of the direct product of matrix algebras
Daniele Guido, Lars Tuset (2001)
Fundamenta Mathematicae
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Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem...
Cellular algebras.
G.I. Lehrer, J.J. Graham (1996)
Inventiones mathematicae
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On semi-invariants of tilted algebras of type Aₙ
Witold Kraśkiewicz (2001)
Colloquium Mathematicae
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We prove that for algebras obtained by tilts from the path algebras of equioriented Dynkin diagrams of type Aₙ, the rings of semi-invariants are polynomial.