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4 papers · 2 filters
An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras
Dmitri I. Panyushev
Let $\g$ be a simple Lie algebra of type A or C. We show that the coadjoint representation of any seaweed subalgebra of $\g$ has some properties similar to that of the adjoint repr…
Some geometry and combinatorics for the S-invariant of ternary cubics
P. M. H. Wilson
Given a real cubic form f(x,y,z), there is a pseudo-Riemannian metric given by its Hessian matrix, defined on the open subset of R^3 where the Hessian determinant h is non-zero. We…
Mixed Hodge structure of affine hypersurfaces
Hossein Movasati
In this article we introduce the mixed Hodge structure of the Brieskorn module of a polynomial in $\C^{n+1}$, where satisfies a certain regularity condition at infinity (an…
Ind--varieties of generalized flags as homogeneous spaces for classical ind--groups
Ivan Dimitrov, Ivan Penkov
The purpose of the present paper is twofold: to introduce the notion of a generalized flag in an infinite dimensional vector space (extending the notion of a flag of subspaces…