Zobrazeno 1 - 10
of 365
pro vyhledávání: '"Azad, Hassan"'
A local classification of semisimple algebras of vector fields on $\mathbb{C}^{3}$ is given, using the canonical forms of the Heisenberg algebra and of $sl(2,\mathbb{C})\times sl(2,\mathbb{C})$.
Externí odkaz:
http://arxiv.org/abs/2404.02847
A classification of semisimple algebras of vector fields on C^N that have a Cartan subalgebra of dimension N is given. The proof uses basic representation theory and the local canonical form of semisimple Lie algebras of vector fields.
Externí odkaz:
http://arxiv.org/abs/2309.10545
A constructive procedure is given to determine all ideals of a solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given solvable Lie algebra.
Comment: Final version
Comment: Final version
Externí odkaz:
http://arxiv.org/abs/2206.12940
A problem that is frequently encountered in a variety of mathematical contexts, is to find the common invariant subspaces of a single, or set of matrices. A new method is proposed that gives a definitive answer to this problem. The key idea consists
Externí odkaz:
http://arxiv.org/abs/2103.08316
A brief proof of Lie's classification of solvable algebras of vector fields on the plane is given. The proof uses basic representation theory and PDEs.
Comment: Final version
Comment: Final version
Externí odkaz:
http://arxiv.org/abs/2012.01422
Autor:
Umar Ahmad, Syahril Abdullah, De Ming Chau, Suet Lin Chia, Khatijah Yusoff, Soon Choy Chan, Teng Aik Ong, Azad Hassan Razack, Abhi Veerakumarasivam
Publikováno v:
Scientific Reports, Vol 13, Iss 1, Pp 1-12 (2023)
Abstract Bladder cancer cells can acquire persistent infection of oncolytic Newcastle disease virus (NDV) but the molecular mechanism(s) remain unelucidated. This poses a major barrier to the effective clinical translation of oncolytic NDV virotherap
Externí odkaz:
https://doaj.org/article/de1bf2a5fe0642dfa4cbb6020803a3f5
Winkelmann considered compact complex manifolds $X$ equipped with a reduced effective normal crossing divisor $D\, \subset\, X$ such that the logarithmic tangent bundle $TX(-\log D)$ is holomorphically trivial. He characterized them as pairs $(X,\, D
Externí odkaz:
http://arxiv.org/abs/1908.00522
A characterization of the symmetry algebra of the $n$th order ordinary differential equations (ODEs) with maximal symmetry and all third order linearizable ODEs is given. This is used to show that such an algebra $\mathfrak{g}$ determines $-$ up to a
Externí odkaz:
http://arxiv.org/abs/1810.12334
A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example. We also discuss an implementation of the algorithm in the language of the computer algebra
Externí odkaz:
http://arxiv.org/abs/1804.03614
If $L$ is a semisimple Lie algebra of vector fields on R^N with a split Cartan subalgebra C, then it is proved that the dimension of the generic orbit of C coincides with the dimension of C. As a consequence one obtains a local canonical form of L in
Externí odkaz:
http://arxiv.org/abs/1612.08535