The R ∞ R_{\infty} property for nilpotent quotients of Generalized Solvable Baumslag–Solitar groups
Journal of Group Theory, 2023 Abstract We say a group 𝐺 has property R ∞ R_{\infty} if the
Sgobbi, Wagner C. +2 more
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On the Residual Solvability of Generalized Free Products of Finitely Generated Nilpotent Groups [PDF]
Communications in Algebra, 2011 19 ...
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Lie rank in groups of finite Morley rank with solvable local subgroups [PDF]
, 2013 We prove a general dichotomy theorem for groups of finite Morley rank with solvable local subgroups and of Pr\"ufer p-rank at least 2, leading either to some p-strong embedding, or to the Pr\"ufer p-rank being exactly ...
Deloro, Adrien, Jaligot, Eric
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Formality and hard Lefschetz property of aspherical manifolds [PDF]
, 2012 For a Lie group $G=\R^{n}\ltimes_{\phi}\R^{m}$ with the semi-simple action $\phi:\R^{n}\to {\rm Aut}(\R^{m})$, we show that if $\Gamma$ is a finite extension of a lattice of $G$ then $K(\Gamma, 1)$ is formal.
Kasuya, Hisashi
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Very nilpotent basis and n-tuples in Borel subalgebras [PDF]
, 2010 A (vector space) basis B of a Lie algebra is said to be very nilpotent if all the iterated brackets of elements of B are nilpotent. In this note, we prove a refinement of Engel's Theorem.
Michael, Bulois
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A Parafermionic Generalization of the Jaynes Cummings Model [PDF]
, 2014 We introduce a parafermionic version of the Jaynes Cummings Hamiltonian, by coupling $k$ Fock parafermions (nilpotent of order $F$) to a 1D harmonic oscillator, representing the interaction with a single mode of the electromagnetic field.
Gherardi, Marco, Nigro, Alessandro
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Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups
, 2014 Correct a ...
Fel'shtyn, Alexander +2 more
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Central theorems for cohomologies of certain solvable groups [PDF]
, 2015 We show that the group cohomology of torsion-free virtually polycyclic groups and the continuous cohomology of simply connected solvable Lie groups can be computed by the rational cohomology of algebraic groups. Our results are generalizations of certian
Kasuya, Hisashi
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Quasi-classical Lie algebras and their contractions [PDF]
, 2006 After classifying indecomposable quasi-classical Lie algebras in low dimension, and showing the existence of non-reductive stable quasi-classical Lie algebras, we focus on the problem of obtaining sufficient conditions for a quasi-classical Lie algebras ...
A. Das +29 more
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On Lie-algebraic solutions of the type IIB matrix model
, 2011 A systematic search for Lie algebra solutions of the type IIB matrix model is performed. Our survey is based on the classification of all Lie algebras for dimensions up to five and of all nilpotent Lie algebras of dimension six. It is shown that Lie-type
A. Connes +10 more
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