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Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2016)
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 ...
On nilpotent evolution algebras
(Elsevier, 2016)
The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily computed from any natural basis. Some ...
Permanence properties of the second nilpotent product of groups
(Belgian Mathematical Soc Triomphe, 2019-07)
We show that amenability, the Haagerup property, the Kazhdan´s property (T) and exactness are preserved under taking second nilpotent product of groups. We also define the restricted second nilpotent wreath product of ...
Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem
(Springer, 2022-12-01)
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number n. The parity of n determines whether the existence of an inverse integrating factor implies that the singular ...
On nilpotency of generalized almost-jordan right-nilalgebras
(World Scientific Publishing Co. Pte Ltd, 2008)
We study the variety of algebras A over a field of characteristic ≠ 2, 3, 5 satisfying the identities xy=yx and β ((xx)y)x-((yx)x)x + γ ((xx)x)y-((yx)x)x=0, where β, γ are scalars. We do not assume power-associativity. We ...
SEMIPRIMALITY AND NILPOTENCY OF NONASSOCIATIVE RINGS SATISFYING x (yz) = y (zx)
(Taylor & Francis Group, 2008)
In this article we study nonassociative rings satisfying the polynomial identity x yz =
y zx , which we call “cyclic rings.” We prove that every semiprime cyclic ring is
associative and commutative and that every cyclic ...
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
(2020)
We consider the problem of finding the limit at infinity (corresponding to
the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural
C
∗
-action on the moduli space. For general rank we provide ...
On nonsingular two-step nilpotent Lie algebras
(International Press Boston, 2014-12)
A 2-step nilpotent Lie algebra n is called nonsingular if ad(X): n --> [n,n] is onto for any X not in [n,n]. We explore nonsingular algebras in several directions, including the classification problem (isomorphism invariants), ...