On representations of Lie algebras of a generalized Tavis-Cummings model.
Hanna, L. A.-M. (2003)
Journal of Applied Mathematics
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Hanna, L. A.-M. (2003)
Journal of Applied Mathematics
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Bourgin, Richard D., Robart, Thierry P. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Doerr, Benjamin (2000)
The Electronic Journal of Combinatorics [electronic only]
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Thomas Ernst (2017)
Special Matrices
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In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with...
T. S. Motzkin, J. L. Walsh (1959-1960)
Compositio Mathematica
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Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Nijenhuis, A. (1996)
Archivum Mathematicum
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J. F. Cariñena, J. de Lucas
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Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the so-called superposition rule. Apart from this fundamental property, Lie systems enjoy many other geometrical features and they appear in multiple branches of mathematics and physics. These facts, together with the authors' recent findings...
Benayed, Miloud, Souidi, El Mamoun (1998)
The New York Journal of Mathematics [electronic only]
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Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Breckner, Brigitte E. (2002)
Mathematica Pannonica
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Peniche, R., Sánchez-Valenzuela, O.A., Thompson, F. (2004)
International Journal of Mathematics and Mathematical Sciences
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