Results 1 to 10 of about 312 (162)

Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra

Mathematics, 2023
The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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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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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

Jambura Journal of Mathematics, 2023
The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi, Putri Giza Maharani, Alit Kartiwa   +2 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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The classification of three-dimensional Lie algebras on complex field

Дифференциальная геометрия многообразий фигур, 2021
In this paper, we study the classification of three-dimensional Lie al­gebras over a field of complex numbers up to isomorphism. The proposed classification is based on the consideration of objects invariant with re­spect to isomorphism, namely such ...
E.R. Shamardina
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Quantum Current Algebra in Action: Linearization, Integrability of Classical and Factorization of Quantum Nonlinear Dynamical Systems

Universe, 2022
This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum and ...
Anatolij K. Prykarpatski
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Yang-Baxter deformations of WZW model on the Heisenberg Lie group

Nuclear Physics B, 2021
The Yang-Baxter (YB) deformations of Wess-Zumino-Witten (WZW) model on the Heisenberg Lie group (H4) are examined. We proceed to obtain the nonequivalent solutions of (modified) classical Yang-Baxter equation ((m)CYBE) for the h4 Lie algebra by using its
Ali Eghbali, Tayebe Parvizi, Adel Rezaei-Aghdam   +2 more
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An Introduction to Noncommutative Physics

Physics, 2023
Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras.
Shi-Dong Liang, Matthew J. Lake
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The linear $\protect \mathfrak{n}(1|N)$–invariant differential operators and $\protect \mathfrak{n}(1|N)$–relative cohomology

Comptes Rendus. Mathématique, 2020
Over the $(1,N)$-dimensional supercircle $S^{1|N}$, we classify $\mathfrak{n}(1|N)$-invariant linear differential operators acting on the superspaces of weighted densities on $S^{1|N}$, where $\mathfrak{n}(1|N)$ is the Heisenberg Lie superalgebra.
Khalfoun, Hafedh, Laraiedh, Ismail
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Influence of the dissipation on the N-level atom interacting with a two two-level atoms in presence of qubit–qubit interaction

Scientific Reports, 2021
The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit–qubit interaction and dissipation term is considered.
S. Abdel-Khalek, Hashim M. Alshehri, E. M. Khalil, A.-S. F. Obada   +3 more
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