Results 11 to 20 of about 882 (253)
C * -DYNAMICAL SYSTEMS OF SOLVABLE LIE GROUPS [PDF]
38 pages; accepted for publication in the journal Transformation ...
Beltiţă, Ingrid, Beltiţă, Daniel
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev +2 more
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Example of a six-dimensional LCK solvmanifold
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Sawai Hiroshi
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Microscopic description of odd-odd transitional nuclei by using interacting-boson-fermion -model [PDF]
Studying the dynamical behavior of various nucleus systems has become an interesting subject of research over recent years in nuclear physics. The Energy spectrum and magnitude of momentum of electric and magnetic multi-poles may describe the behavior of
M. Ghapanvari +3 more
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The κ-(A)dS quantum algebra in (3+1) dimensions
The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson–Lie structure on the dual solvable Lie group.
Ángel Ballesteros +3 more
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Solvable Lie Algebras, Lie Groups and Polynomial Structures [PDF]
In this paper, we study polynomial structures by starting on the Lie algebra level, then passing to Lie groups to finally arrive at the polycyclic-by-finite group level. To be more precise, we first show how a general solvable Lie algebra can be decomposed into a sum of two nilpotent subalgebras.
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Quantization and projective representations of solvable Lie groups [PDF]
Kostant’s quantization procedure is applied for constructing irreducible projective representations of a solvable Lie group from symplectic homogeneous spaces on which the group acts. When specialized to a certain class of such groups, including the exponential ones, the technique exposed in the present paper provides a complete parametrization of all ...
Moscovici, Henri, Verona, Andrej
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On the centroid of Heisenberg Lie algebra
Heisenberg Lie algebra belongs to a class of solvable Lie algebra. It has a deep physical background and thus is an important object of Lie algebra study.
YU De-Ming, MA Jie-Jing, JIANG Chan
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Under investigation in this paper is the higher-order Broer-Kaup(HBK) system, which describes the bidirectional propagation of long waves in shallow water.
Yarong Xia, Ruoxia Yao, Xiangpeng Xin
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Controllability of Linear Systems on Solvable Lie Groups [PDF]
Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies controllability by taking in consideration the eigenvalues of an associated derivation D. When the state space is a solvable connected Lie group, controllability of the systems is guaranteed if the reachable set of the ...
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