7 citations · 20 across the 9 of their papers we have counts for
14 papers
Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus
Magdalena Boos, Giovanni Cerulli Irelli, Xin Fang +1
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type equioriented quivers. First, in the larger…
Symmetric degenerations are not in general induced by type A degenerations
Magdalena Boos, Giovanni Cerulli Irelli
We consider a symmetric quiver with relations. Its (symmetric) representations of a fixed symmetric dimension vector are encoded in the (symmetric) representation varieties. The or…
On degenerations and extensions of symplectic and orthogonal quiver representations
Magdalena Boos, Giovanni Cerulli Irelli
We discuss degenerations of symplectic and orthogonal representations of symmetric quivers and algebras with self-dualities. As in the non-symmetric case, we define a partial order…
Weight Spaces and Attracting Sets for Torus Actions on Quiver Moduli
Magdalena Boos, Hans Franzen
We study torus actions on moduli spaces of quivers. First we give a description of the weight spaces of the induced action of the tangent space to a torus-fixed point. Then we focu…
Parabolic orbits of -nilpotent elements for classical groups
Magdalena Boos, Giovanni Cerulli Irelli, Francesco Esposito
We consider the conjugation-action of the Borel subgroup of the symplectic or the orthogonal group on the variety of nilpotent complex elements of nilpotency degree in its Lie…
Semi-simplicity of the category of admissible D-modules
Gwyn Bellamy, Magdalena Boos
Using a representation theoretic parameterization for the orbits in the enhanced cyclic nilpotent cone, derived by the authors in a previous article, we compute the fundamental gro…
Multi-graded nilpotent tuples
Magdalena Boos
We discuss multi-graded nilpotent tuples of multi-graded vector spaces which are a generalization of graded nilpotent pairs. The multi-grading yields a natural notion of a shape of…
The (cyclic) enhanced nilpotent cone via quiver representations
Gwyn Bellamy, Magdalena Boos
The -orbits in the enhanced nilpotent cone are (essentially) in bijection with the orbits of a certain parabolic …
Parabolic Conjugation and Commuting Varieties
Magdalena Boos, Michaël Bulois
We consider the conjugation-action of an arbitrary upper-block parabolic subgroup of the general linear group on the variety of nilpotent matrices in its Lie algebra. Lie-theoretic…
Staircase algebras and graded nilpotent pairs
Magdalena Boos
We consider a class of finite-dimensional algebras, the so-called "Staircase algebras" parametrized by Young diagrams. We develop a complete classification of representation types…
Non-Reductive Conjugation on the Nilpotent Cone
Magdalena Boos
We consider the conjugation-action of an arbitrary upper-block parabolic subgroup of , especially of the Borel subgroup and of the standard unipotent su…
Finite Parabolic Conjugation on Varieties of Nilpotent Matrices
Magdalena Boos
We consider the conjugation-action of an arbitrary upper-block parabolic subgroup of on the variety of -nilpotent complex matrices and translate it to a…
Conjugation on varieties of nilpotent matrices
Magdalena Boos
We consider the conjugation-action of an arbitrary upper-block parabolic subgroup of GL_n(C) on the variety of x-nilpotent complex matrices. We obtain a criterion as to whether the…
B-orbits of 2-nilpotent matrices and generalizations
Magdalena Boos, Markus Reineke
The orbits of the group B of upper-triangular matrices acting on 2-nilpotent complex matrices via conjugation are classified via oriented link patterns, generalizing A. Melnikov's…