On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras (original) (raw)

B–Orbits in Abelian Nilradicals of Types B, C and D: Towards a Conjecture of Panyushev

Anna Melnikov

Lie Theory and Its Applications in Physics, 2016

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Small Semisimple Subalgebras of Semisimple Lie Algebras

Gregg Zuckerman

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, 2007

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On the level of some solvable lie algebras

Vladimir Gorbatsevich

Siberian Mathematical Journal, 1998

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Prehomogeneous spaces for Borel subgroups of general linear groups

Lutz Hille

Transformation Groups, 2007

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On the existence of smooth orbital varieties in simple Lie algebras

Anna Melnikov

Journal of the London Mathematical Society, 2019

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Complete Reducibility and Conjugacy classes of tuples in Algebraic Groups and Lie algebras

Gerhard Roehrle

Math Z, 2009

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K-orbits on the flag variety and strongly regular nilpotent matrices

Sam Evens

Selecta Mathematica, 2012

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On the coadjoint orbits of maximal unipotent subgroups of reductive groups

Gerhard Roehrle

2014

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Complete reducibility for Lie subalgebras and semisimplification

Gerhard Roehrle

arXiv (Cornell University), 2023

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Algebraically generated groups and their lie algebras

Hanspeter Kraft

arXiv (Cornell University), 2022

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The normality of closures of orbits in a Lie algebra

Wim H Hesselink

Commentarii Mathematici Helvetici, 1979

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On the Nilpotency of Certain Subalgebras of Kac-Moody Lie Algebras

YEONOK KIM

Journal of Lie Theory, 2004

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Actions of parabolic subgroups of GL (V) on certain unipotent subgroups and quasi-hereditary algebras

Lutz Hille

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B-Orbits of Square Zero in Nilradical of the Symplectic Algebra

Anna Melnikov

Transformation Groups, 2016

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Actions of semisimple Lie groups and orbits of Cartan subgroups

Yuri Zarhin

Archiv der Mathematik, 1991

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A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices

Wilberd Van Der Kallen

1992

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Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups

Boris Kunyavskii

2004

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Nilpotent subspaces of maximal dimension in semi-simple Lie algebras

Hanspeter Kraft

Compositio Mathematica, 2006

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On exceptional nilpotents in semisimple Lie algebras

Victor Kac

Journal of Lie theory

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Two results on equations of nilpotent orbits

Jerzy Weyman

Journal of Algebraic Geometry, 2002

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Reducibility of nilpotent commuting varieties

Robert Guralnick

2013

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On the pair of nilpotent Lie algebras

Mohammad Reza R. Moghaddam

arXiv (Cornell University), 2022

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Nil Algebras and Unipotent Groups of Finite Width

Consuelo Martínez

Advances in Mathematics, 1999

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Invariants in the Enveloping Algebra of a Semisimple Lie Algebra for the Adjoint Action of a Nilpotent Lie Subalgebra

Philippe Caldero

Communications in Mathematical Physics, 1997

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Invariants of universal enveloping algebras of relatively free lie algebras

Vesselin Drensky

2000

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On universal Lie nilpotent associative algebras

John Kim

Journal of Algebra, 2009

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RELATIVE COMMUTATOR ASSOCIATED WITH VARIETIES OF n-NILPOTENT AND OF n-SOLVABLE GROUPS

Marino Gran

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LECTURE 7: REALIZTING U−(g) USING LUSZTIG’S NILPOTENT VARIETY

Giorgia Fortuna

2014

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On the Maximal Primitive Ideal Corresponding to the Model Nilpotent Orbit

Gordan Savin

International Mathematics Research Notices, 2012

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The Irreducible Components of the Nilpotent Associative Algebras

Abdenacer Makhlouf

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Spherical Orbits and Abelian Ideals

Gerhard Roehrle

Advances in Mathematics, 2001

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On some invariants of orbits in the flag variety under a symmetricsubgroup

Sam Evens

2011

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Automorphism Groups of Nilpotent Lie Algebras

Savannah Swiatlowski

Journal of the London Mathematical Society, 1987

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