Results 221 to 230 of about 1,969,963 (254)

Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn. [PDF]

Sci Rep
Shakeel M, Abbas N, Rehman MJU, Alshammari FS, Al-Yaari A.   +4 more
europepmc   +1 more source

Expansion of stereotactic work envelope using transformation matrices and geometric algebra for neurosurgery. [PDF]

Biomed Eng Lett
Sharaf B, Lewis S, Choung D, Goyal A, Scheitler KM, Hong LS, Blaha CD, Hanna B, Chang K, Yuen J, Oh Y, Shin H, Grewal S, Chang JW, Miller K, Lee KH.   +15 more
europepmc   +1 more source

Dynamics of invariant solutions of the DNA model using Lie symmetry approach. [PDF]

Sci Rep
Hussain A, Usman M, Zidan AM, Sallah M, Owyed S, Rahimzai AA.   +5 more
europepmc   +1 more source

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Lie Algebras and Lie Algebra Representations

, 2017
In this chapter, we will introduce Lie algebras and Lie algebra representations, which provide a tractable linear construction that captures much of the behavior of Lie groups and Lie group representations.
P. Woit
semanticscholar   +3 more sources

M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra

, 2010
We show that the zeroth cohomology of M. Kontsevich’s graph complex is isomorphic to the Grothendieck–Teichmüller Lie algebra $$\mathfrak {{grt}}_1$$grt1. The map is explicitly described. This result has applications to deformation quantization and Duflo
T. Willwacher
semanticscholar   +1 more source

Algebra, Lie Group and Lie Algebra

2010
Geometry, algebra, and analysis are usually called the three main branches of mathematics. This chapter introduces some fundamental results in algebra that are mostly useful in systems and control. In section 4.1 some basic concepts of group and three homomorphism theorems are discussed. Ring and algebra are introduced briefly in section 4.2. As a tool,
Daizhan Cheng, Tielong Shen, Xiaoming Hu
openaire   +2 more sources

The Lie algebra of derivations of a current Lie algebra

Communications in Algebra, 2019
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit.
Ochoa Arango, Jesús Alonso, Rojas, Nadina Elizabeth   +1 more
openaire   +3 more sources

Indecomposable representations of the Diamond Lie algebra

, 2010
We study classes of indecomposable representations of the Diamond Lie algebra: a four-dimensional solvable Lie algebra, which is the central extension of the Poincare Lie algebra in two dimensions.
P. Casati, Stefania Minniti, V. Salari
semanticscholar   +1 more source