On semi-invariants and index for biparabolic (seaweed) algebras. I

DOI10.1016/j.jalgebra.2005.12.029zbMath1183.17009OpenAlexW4210498213MaRDI QIDQ854913

Anthony Joseph

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.12.029

zbMATH Keywords

indexbiparabolicsemi-centre

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of linear algebraic groups (17B45)

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The evolution of the spectrum of a Frobenius Lie algebra under deformation, Toral posets and the binary spectrum property, Weierstrass sections for some truncated parabolic subalgebras, On semi-invariants and index for biparabolic (seaweed) algebras. II., The principal element of a Frobenius Lie algebra, The unbroken spectrum of type-A Frobenius seaweeds, On Dixmier's fourth problem, On seaweed subalgebras and meander graphs in type D, A slice theorem for truncated parabolics of index one and the Bézout equation, On the semi-centre of a Poisson algebra, The hidden semi-invariants generators of an almost-Frobenius biparabolic, The index of nilpotent Lie poset algebras, Slices for maximal parabolic subalgebras of a semisimple Lie algebra, Combinatorial index formulas for Lie algebras of seaweed type, Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras, Unnamed Item, Unnamed Item, Adjoint action of automorphism groups on radical endomorphisms, generic equivalence and Dynkin quivers., On the index of biparabolic subalgebras of \(\mathfrak{gl}(n)\), Unnamed Item, About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras, Slices for biparabolic coadjoint actions in type A, Existence of Richardson elements for seaweed Lie algebras of finite type, The integrality of an adapted pair, The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem, Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras, Stability of parabolic subalgebras of exceptional simple Lie algebras, The index of Lie poset algebras, Double canonical bases, A degree inequality for Lie algebras with a regular Poisson semi-center, On the sum of the index of a parabolic subalgebra and of its nilpotent radical, Adapted pairs in type A and regular nilpotent elements, The index and spectrum of Lie poset algebras of types B, C, and D, Computing invariants and semi-invariants by means of Frobenius Lie algebras, Compatible adapted pairs and a common slice theorem for some centralizers, Contact seaweeds

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