Results 11 to 20 of about 18,721 (178)

The graded center of the stable category of a Brauer tree algebra [PDF]

open access: yes, 2010
We calculate the graded center of the stable category of a Brauer tree algebra. The canonical map from the Tate analogue of Hochschild cohomology to the graded center of the stable category is shown to induce an isomorphism module taking quotients by ...
Kessar, R., Linckelmann, M.
core   +1 more source

Polynomial Liénard systems with a nilpotent global center

open access: yesRendiconti del Circolo Matematico di Palermo Series 2, 2022
AbstractA center for a differential system $$\dot{\textbf{x}}=f(\textbf{x})$$ x ˙ = f ( x )
Isaac A. García, Jaume Llibre
openaire   +4 more sources

On analogs of some classical group-theoretic results in Poisson algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2021
We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is nilpotent (Abelian).
L.A. Kurdachenko   +2 more
doaj   +1 more source

Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers [PDF]

open access: yesMathematics and Computers in Simulation, 2021
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.
Dias, Fabio Scalco   +2 more
openaire   +5 more sources

Analytic nilpotent centers as limits of nondegenerate centers revisited

open access: yesJournal of Mathematical Analysis and Applications, 2016
We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers. The first and third authors are partially supported by a MICINN grant number
Isaac A. García   +3 more
openaire   +7 more sources

Orbital Reversibility of Planar Vector Fields

open access: yesMathematics, 2020
In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given.
Antonio Algaba   +2 more
doaj   +1 more source

Limit Cycle Bifurcations from Centers of Symmetric Hamiltonian Systems Perturbing by Cubic Polynomials [PDF]

open access: yes, 2012
In this paper, we consider some cubic near-Hamiltonian systems obtained from perturbing the symmetric cubic Hamiltonian system with two symmetric singular points by cubic polynomials.
Gao, Bin   +2 more
core   +1 more source

Methods of group theory in Leibniz algebras: some compelling results

open access: yesResearches in Mathematics, 2021
The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
doaj   +1 more source

On graded centres and block cohomology [PDF]

open access: yes, 2009
We extend the group theoretic notions of transfer and stable elements to graded centers of triangulated categories. When applied to the center H∗Db(B)) of the derived bounded category of a block algebra B we show that the block cohomology H∗(B) is ...
Linckelmann, M.
core   +1 more source

Reversible nilpotent centers with cubic homogeneous nonlinearities

open access: yesJournal of Mathematical Analysis and Applications, 2016
We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.
Maša Dukarić   +2 more
openaire   +9 more sources

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