Generalized Heisenberg algebras and Fibonacci series [PDF]
Journal of Physics A, 2006 24 pages, 2 figures, subfigure ...
E M F Curado, M A Rego-Monteiro
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Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions [PDF]
Journal of Mathematical Physics, 2020 We introduce the generalized Heisenberg algebra Hn and construct realizations of the orthogonal and Lorentz algebras by a formal power series in a semicompletion of Hn. The obtained realizations are given in terms of the generating function for the Bernoulli numbers.
Stjepan Meljanac +2 more
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Structures of not-finitely graded Lie algebras related to generalized Heisenberg–Virasoro algebras [PDF]
Acta Mathematica Sinica, English Series, 2015 16 pages.
Fan, Guang Zhe +2 more
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Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories.
Véronique Hussin, Ian Marquette
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Generalized Heisenberg Algebra, Realizations of the gI(N) Algebra And Applications [PDF]
Reports on Mathematical Physics, 2022 We introduce the generalized Heisenberg algebra appropriate for realizations of the ( ) algebra. Linear realizations of the ( ) algebra are presented and the corresponding star product, coproduct of momenta and twist are constructed. The dual realization and dual ( ) algebra are considered.
Meljanac, Stjepan +2 more
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Quantum generalized Heisenberg algebras and their representations [PDF]
Communications in Algebra, 2021 We introduce and study a new class of algebras, which we name \textit{quantum generalized Heisenberg algebras} and denote by $\mathcal{H}_q (f,g)$, related to generalized Heisenberg algebras, but allowing more parameters of freedom, so as to encompass a wider range of applications and include previously studied algebras, such as (generalized) down-up ...
Samuel A. Lopes, Farrokh Razavinia
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Generalized quantum phase spaces for the κ-deformed extended Snyder model
Physics Letters B, 2023 We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N).
Jerzy Lukierski +3 more
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Computing the index of Lie algebras; pp. 265–271 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The aim of this paper is to compute and discuss the index of Lie algebras. We consider the n-dimensional Lie algebras for n lt; 5 and the case of filiform Lie algebras which form a special class of nilpotent Lie algebras.
Hadjer Adimi, Abdenacer Makhlouf
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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Journal of High Energy Physics, 2021 We examine a strong/weak duality between a Heisenberg coset of a theory with sl $$ \mathfrak{sl} $$ n subregular W $$ \mathcal{W} $$ -algebra symmetry and a theory with a sl $$ \mathfrak{sl} $$ n|1-structure.
Thomas Creutzig +2 more
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