Results 11 to 20 of about 649 (235)
Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation
Alexandria Engineering Journal, 2021 The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer +5 more
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
Universe, 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
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}$-Laplacian flow
Comptes Rendus. Mathématique, 2020 We show the existence of expanding solitons of the $\mathrm{G}_2$-Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricci pinched $\mathrm{G}_2$-structure.
Fino, Anna, Raffero, Alberto
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C * -DYNAMICAL SYSTEMS OF SOLVABLE LIE GROUPS [PDF]
Transformation Groups, 2017 38 pages; accepted for publication in the journal Transformation ...
Beltiţă, Ingrid, Beltiţă, Daniel
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Quantization and projective representations of solvable Lie groups [PDF]
Transactions 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
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Solvable Lie Algebras, Lie Groups and Polynomial Structures [PDF]
Compositio 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.
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Controllability of Linear Systems on Solvable Lie Groups [PDF]
SIAM 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 ...
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Ricci solitons for solvable Lie groups
Современная математика: Фундаментальные направленияIn this work, the existence of nontrivial (i.e., not Einstein) Ricci solitons on Riemannian three-dimensional and five-dimensional solvable Lie groups is considered and studied. Moreover, it is shown that they are not gradient Ricci solitons.
L. Belarbi
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From homogeneous metric spaces to Lie groups
Comptes Rendus. MathématiqueWe study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to ...
Cowling, Michael G. +4 more
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