Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H4
Nuclear Physics B, 2015 We show that the WZW model on the Heisenberg Lie group H4 has Poisson–Lie symmetry only when the dual Lie group is A2⊕2A1. In this way, we construct the mutual T-dual sigma models on Drinfel'd double generated by the Heisenberg Lie group H4 and its dual ...
A. Eghbali, A. Rezaei-Aghdam
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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 +2 more
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The C*-algebras of the Heisenberg group and of thread-like Lie groups [PDF]
Mathematische Zeitschrift, 2010 31 ...
Jean Ludwig +2 more
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A Safety Study for Dynamical Systems on Heisenberg Lie Group of dimension 4 [PDF]
Modeling, Identification and ControlThe safety property of dynamical systems has typically been studied in Euclidean spaces. In this work, we extend the notion of safety to a non-Euclidean geometry.
Sultan Selcuk Sutlu +3 more
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THE EXPLICIT FORMULAS OF PARAMETRIZATION OF COADJOINT ORBITS OF THE HEISENBERG LIE GROUP
BarekengThis research focuses on the Heisenberg Lie group. The aim is to determine the coadjoint orbits and their parametrizations. The method used in this research involves constructing the parametrization of coadjoint orbit for Heisenberg Lie group ...
Muhammad Zaky Zachary +2 more
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Translations in simply transitive affine actions of Heisenberg type Lie groups
Linear Algebra and Its Applications, 2003 Let \((x,y)\mapsto x\cdot y\) be a complete left-symmetric structure on a nilpotent Lie algebra \({\mathfrak g}\). Let \(T({\mathfrak g})\) be the set of \(x\in {\mathfrak g}\) satisfying \(x\cdot y=0\) for all \(y\in {\mathfrak g}\). The left-symmetric structure induces a simply transitive action of a nilpotent Lie group \(G\) such that \(\exp (T ...
Karel Dekimpe, Paul Igodt
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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 +2 more
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Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras [PDF]
Journal of Geometry and Physics, 2021 30 pages.
Xie, Wenjuan, Liu, Wende
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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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On LCK solvmanifolds with a property of Vaisman solvmanifolds
Complex Manifolds, 2022 The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.
Sawai Hiroshi
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