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IEEE Transactions on Automatic Control, ISSN 0018-9286, 05/2019, Volume 64, Issue 5, pp. 1772 - 1783
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 9/2018, Volume 233, Issue 5, pp. 659 - 665
In this paper, the authors describe homomorphisms of Lie groups into the groups u(R) of invertible elements of rings R for a large class of rings R, which... 
Mathematics, general | Mathematics | Algebra | LIE GROUPS | MATRICES | RINGS | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2009, Volume 222, Issue 4, pp. 1461 - 1501
We show that under suitable assumptions, we have a one-to-one correspondence between classical groups and free quantum groups, in the compact orthogonal case.... 
Quantum group | Noncrossing partition | MATHEMATICS | INTEGRATION | QUANTUM PERMUTATION-GROUPS | DUALITY | COMPACT MATRIX PSEUDOGROUPS
Journal Article
2007, Graduate texts in mathematics, ISBN 0387302638, Volume 235, xii, 198
Book
IEEE Signal Processing Letters, ISSN 1070-9908, 11/2017, Volume 24, Issue 11, pp. 1719 - 1723
Many physical systems evolved on matrix Lie groups and mixture filtering designed for such manifolds represent an inevitable tool for challenging estimation... 
probability hypothesis density filter | Uncertainty | Algebra | Merging | mixture reduction | Estimation | Gaussian distribution | Tools | Radar tracking | multitarget tracking | Estimation on matrix lie groups | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 04/2018, Volume 15, Issue 4
We study right-invariant (respectively, left-invariant) Poisson-Nijenhuis structures (P-N) on a Lie group G and introduce their infinitesimal counterpart, the... 
Poisson-Nijenhuis structures | integrable dynamical systems | Lie bialgebras and coboundary Lie bialgebras | ALGEBRAS | PHYSICS, MATHEMATICAL
Journal Article
IEEE Sensors Journal, ISSN 1530-437X, 05/2018, Volume 18, Issue 9, pp. 3780 - 3788
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 08/2016, Volume 13, Issue 7
In this paper, we obtain the classical r-matrices of real two- and three-dimensional Jacobi-Lie bialgebras. In this way, we classify all non-isomorphic real... 
Jacobi-Lie bialgebra | classical r -matrix | Jacobi-Lie group | PHYSICS, MATHEMATICAL | classical r-matrix
Journal Article
IEEE Transactions on Circuits and Systems for Video Technology, ISSN 1051-8215, 10/2015, Volume 25, Issue 10, pp. 1576 - 1585
In this paper, we study discriminative analysis of symmetric positive definite (SPD) matrices on Lie groups (LGs), namely, transforming an LG into a... 
Manifolds | Measurement | visual classification | Visualization | Symmetric matrices | Algebra | Discriminative analysis | graph embedding | Lie group | Kernel | Covariance matrices | Lie group (LG) | KERNEL | ROBUST | REPRESENTATION | FRAMEWORK | CLASSIFICATION | COVARIANCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Symmetric functions | Lie groups
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2017, Volume 319, pp. 522 - 566
We introduce a Frechet Lie group structure on the Riordan group. We give a description of the corresponding Lie algebra as a vector space of infinite lower... 
Stabilizers | Exponential map | Finite dimensional Riordan groups | Lie algebra | Riordan group | Frechet Lie group | MATHEMATICS | MATRICES | Algebra
Journal Article
Journal Article
Asian Journal of Control, ISSN 1561-8625, 11/2018, Volume 20, Issue 6, pp. 2088 - 2100
The present work describes a symbolic formulation based on Lie groups and graph theory to obtain the dynamic equations of tree‐structure robotic mechanisms... 
Tree‐structure mechanisms | graph theory | geometric modelling | robotics dynamic modelling | Lie groups | Tree-structure mechanisms | AUTOMATION & CONTROL SYSTEMS | Robotics industry | Usage | Machine vision | Models | College teachers | Mechanical engineering | Robots | Robotics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2019, Volume 60, Issue 12, p. 123508
We consider random stochastic matrices M with elements given by Mij = |Uij|2, with U being uniformly distributed on one of the classical compact Lie groups or... 
PHYSICS, MATHEMATICAL | UNIVERSALITY | UNITARY | Eigenvalues | Permutations | Mathematical analysis | Matrix methods | Group theory | Lie groups
Journal Article
Computational Mechanics, ISSN 0178-7675, 2013, Volume 52, Issue 6, pp. 1281 - 1299
We propose a variational procedure for the recovery of internal variables, in effect extending them from integration points to the entire domain. The objective... 
Interpolation | Internal variables | Variational methods | Recovery | Lie groups | MATRIX | MESHES | RELAXATION | FORMULATION | DEFORMATION | REFINEMENT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MINIMIZATION | ERROR | LOGARITHM | Algebra | Variables | Finite element method | Lagrange multiplier | Deformation | Lagrange multipliers | Mathematical analysis | Mapping | Polynomials
Journal Article
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