Results 11 to 20 of about 882 (253)

C * -DYNAMICAL SYSTEMS OF SOLVABLE LIE GROUPS [PDF]

open access: yesTransformation Groups, 2017
38 pages; accepted for publication in the journal Transformation ...
Beltiţă, Ingrid, Beltiţă, Daniel
openaire   +3 more sources

Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups

open access: yesUniverse, 2022
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
doaj   +1 more source

Example of a six-dimensional LCK solvmanifold

open access: yesComplex Manifolds, 2017
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
doaj   +1 more source

Microscopic description of odd-odd transitional nuclei by using interacting-boson-fermion -model [PDF]

open access: yesمجله علوم و فنون هسته‌ای, 2020
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
doaj   +1 more source

The κ-(A)dS quantum algebra in (3+1) dimensions

open access: yesPhysics Letters B, 2017
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
doaj   +1 more source

Solvable Lie Algebras, Lie Groups and Polynomial Structures [PDF]

open access: yesCompositio Mathematica, 2000
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.
openaire   +2 more sources

Quantization and projective representations of solvable Lie groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
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
openaire   +2 more sources

On the centroid of Heisenberg Lie algebra

open access: yes四川大学学报. 自然科学版, 2023
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
doaj  

Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher-Order Broer-Kaup System

open access: yesAdvances in Mathematical Physics, 2021
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
doaj   +1 more source

Controllability of Linear Systems on Solvable Lie Groups [PDF]

open access: yesSIAM Journal on Control and Optimization, 2016
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 ...
openaire   +4 more sources

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