Dissertation > Excellent graduate degree dissertation topics show

n -RDS Lie algebra of n- RDS algebraic groups

Author: WangLi
Tutor: WangXianDong
School: Qingdao University
Course: Basic mathematics
Keywords: algebraic groups closed connected normal subgroups n-RDS type Lie algebras algebraic Lie algebras lattice
CLC: O152.5
Type: Master's thesis
Year: 2009
Downloads: 4
Quote: 0
Read: Download Dissertation

Abstract


n-RDS type Lie Algebra is a special class of Lie Algebra.We define it through the study of the lattice of its ideals.And the discussion of the construction and classification of it can help us to study the whole Lie Algebra.There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.By studying the lattice of the closed connected normal subgroups of algebraic groups,in this thesis a special class of algebraic groups,called n-RDS type algebraic groups,is defined.In this thesis,firstly we introduce the definition and some relative exeamples,and some main properties and theorem and relations between Lie algebra and algebraic group.On this basis,the definition of n-RDS type algebraic groups is gotten.Then,the definition of equivalence conditions is proved.However,it is not easy to study algebraic group.The Lie algebra of algebraic group reflects many of the properties of algebraic group.So in the stduy of n-RDS type algebraic groups,many results are obtained maily by investigation of its Lie algebra,and some properties of the algebraic group are given. Finally,several examples of n-RDS type algebraic groups are given,reflecting the relations between it and n-RDS type Lie algebra.

Related Dissertations

  1. The Study on Structural Calculation and Analysis Method of Lattice-type Crane with Variable Cross-section Boom,TH21
  2. Chinese Spoken Document Retrieval Method Based on Stop-word Processing,TP391.1
  3. The Study of Discrete Copula and Quasi-Copular,O211.6
  4. The implication structural study interval set,O159
  5. The Convexity Characteristic of the Calder(?)n-Lozanovski(?) Sequence Spaces and Some Geometric Problems,O177
  6. Molecular Dynamics Simulations of Structural Relaxation of Two-dimensional Lattice Mismatch Epitaxial Aluminum Thin Film,O484.1
  7. Research and Implementation of Bot Detection Based on API Hook Technology,TP393.08
  8. Lattice Boltzmann Simulation of Marangoni Convection with Soret Effects in an 2D Rectangular Cavity,O351
  9. The Research on Characteristics of Two-wavelength Terahertz Modulator Based on Compound Lattice Photonic Crystals,TN761
  10. Lattice Boltzmann Simulation of Hemodynamics in Cerebral Aneurysms,R743.3
  11. Study on 3D Protein Folding Problem Based on the Improved Hysteretic Optimization,TP301.6
  12. The Experiment Research: Effect of Fractional CO2 Laser on Guinea Pig Skin Pigmentation Induced by UVB,R758.1
  13. Soliton and Landau-Zener Tunneling Dynamics of Bose-Einstein Condensates Trapped in optical Lattices,O431.2
  14. Study on the Melting Transition and Creep Motion of Two-Dimensional Vortex Lattice Using Computer Simulation,O511
  15. Lattice Boltzmann Simulation of the Homogeneous Isotropic Turbulence,O357.5
  16. Rough concept lattice based multi-attribute decision analysis,O159
  17. Domination Number and Restricted Edge Connectivity of Product Graphs,O157.5
  18. The Algorithms of Generating Concept Lattice,O153.1
  19. Criterion of Isomorphism for Trees and the Application of Tree in Concept Lattice and Inverse Matrix,O157.5
  20. Lattice-Boltzmann Simulation on Fluid Dynamics and Mixing in Micro Channels,TQ021.1
  21. Preparation and Photocatalytic Performance of TiO2 and Pt/TiO2 Nano Composite Photocatalyst Based on Thermocatalytic Synergetic Effect,O643.36

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Lie group
© 2012 www.DissertationTopic.Net  Mobile