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Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2016)
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras
(Academic Press Inc Elsevier Science, 2021-11-20)
Given a sequence d~ = (d1, . . . , dk) of natural numbers, we consider
the Lie subalgebra h of gl(d, F), where d = d1 + · · · + dk and F is a field of
characteristic 0, generated by two block upper triangular matrices D ...
Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(Pacific Journal MathematicsBerkeley, 2016)
Nilpotent orbits and codimension-2 defects of 6d N = (2, 0)theories
(2013-02-10)
We study the local properties of a class of codimension-2 defects of the 6d N = (2, 0) theories of type J = A, D, E labeled by nilpotent orbits of a Lie algebra $g, where g is determined by J and the outer-automorphism ...
Nilpotent orbits and codimension-2 defects of 6d N = (2, 0)theories
(2013-02-10)
We study the local properties of a class of codimension-2 defects of the 6d N = (2, 0) theories of type J = A, D, E labeled by nilpotent orbits of a Lie algebra $g, where g is determined by J and the outer-automorphism ...
The Grunewald–O'Halloran Conjecture for Nilpotent Lie Algebras of Rank ≥1
(Taylor & Francis, 2016-05)
Grunewald and O'Halloran conjectured in 1993 that every complex nilpotent Lie algebra is the degeneration of another, nonisomorphic, Lie algebra. We prove the conjecture for the class of nilpotent Lie algebras admitting a ...
Lie bialgebra structures on 2-step nilpotent graph algebras
(Academic Press Inc Elsevier Science, 2018-07)
We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebras ...
A class of locally nilpotent commutative algebras
(WORLD SCIENTIFIC, 2011)
A class of locally nilpotent commutative algebras
(WORLD SCIENTIFIC, 2011)