Correspondence Between Lie Algebra Invariant Subspaces and Lie Group Invariant Subspaces of Representations of Lie Groups [PDF]
, 1972 Joel Zeitlin
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On the q-exponential of matrix q-Lie algebras
Special Matrices, 2017 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 ...
Ernst Thomas
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A family of simple groups associated with the simple Lie algebra of type (𝐺₂) [PDF]
, 1960 Rimhak Ree
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Reductions and conservation laws for BBM and modified BBM equations
Open Mathematics, 2016 In this paper, the classical Lie theory is applied to study the Benjamin-Bona-Mahony (BBM) and modified Benjamin-Bona-Mahony equations (MBBM) to obtain their symmetries, invariant solutions, symmetry reductions and differential invariants. By observation
Khorshidi Maryam +3 more
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A family of simple groups associated with the simple lie algebra of type (𝐹₄) [PDF]
, 1961 Rimhak Ree
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Generalized Bicomplex Numbers and Lie Groups
, 2013 In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these Lie ...
Aksoyak, Ferdağ Kahraman +1 more
core
A family of Lie algebras not extendible to a family of Lie groups [PDF]
, 1977 Don Coppersmith
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Invariant function algebras on compact semisimple Lie groups [PDF]
, 1965 Ramesh Gangolli
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Solving Quantum Dynamics with a Lie-Algebra Decoupling Method
PRX QuantumQuantum technologies rely on the control of quantum systems at the level of individual quanta. Mathematically, this control is described by Hamiltonian or Liouvillian evolution, requiring the application of various techniques to solve the resulting ...
Sofia Qvarfort, Igor Pikovski
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On $1$ -cohomology groups of infinite dimensional representations of semisimple Lie algebras [PDF]
, 1964 Akira Hattori
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