Results 11 to 20 of about 312 (162)
Loop Heisenberg-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
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HEISENBERG-LIE COMMUTATION RELATIONS IN BANACH ALGEBRAS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2009 Let \(q_1\) and \(q_2\) be nonzero complex numbers. We say that three elements \(b_1, b_2\) and \(b_3\) of a complex algebra satisfy the \((q_1, q_2)\)-deformed Heisenberg-Lie commutation relations if \(b_1b_2-q_1b_2b_1=b_3\), \(q_2b_1b_3-b_3b_1=0\) and \(b_2b_3-q_2b_3b_2=0\). In the paper under review, the authors construct a unital Banach algebra \({\
Laustsen, Niels Jakob +1 more
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Cohomology of Heisenberg Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1983 The cohomology of Heisenberg Lie algebras is studied and we obtain the description of cocycles, coboundaries and cohomological spaces.
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The Harmonic Oscillator on the Heisenberg Group
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Lie polynomials in q-deformed Heisenberg algebras [PDF]
Journal of Algebra, 2019 Let $\mathbb{F}$ be a field, and let $q\in\mathbb{F}$. The $q$-deformed Heisenberg algebra is the unital associative $\mathbb{F}$-algebra $\mathcal{H}(q)$ with generators $A,B$ and relation $AB-qBA=I$, where $I$ is the multiplicative identity in $\mathcal{H}(q)$.
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Bosonic Realizations of the Colour Heisenberg Lie Algebra [PDF]
Journal of Nonlinear Mathematical Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sigurdsson, Gunnar +1 more
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Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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Deformations of the Heisenberg Lie algebra
Journal of Physics: Conference Series, 2021 Abstract In this note we compute all deformations of the 3-dimensional Heisenberg Lie algebra ℌ3. This shows that ℌ3 deforms to almost all Lie algebras of dimension 3.
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Dual Lie algebras of Heisenberg Poisson Lie groups
Tsukuba Journal of Mathematics, 1993 Starting point is an arbitrary Heisenberg Lie algebra \(L\) \(([L,L] = Z(L)\) with one-dimensional center \(Z(L)\)) and the set of its multiplicative Poisson structures. The authors study the dual Lie algebras induced on \(L\) by these structures.
Mikami, Kentaro, Narita, Fumio
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Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
Physics Letters B, 2018 We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski spaces.
Jerzy Lukierski +4 more
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