Dissertation > Excellent graduate degree dissertation topics show

A new class of high-dimensional Lie algebra structure type RDS

Author: ZhengNi
Tutor: WangXianDong
School: Qingdao University
Course: Basic mathematics
Keywords: Lattice of ideals RDS type Lie algebra center ideals Lie algebra
CLC: O152.5
Type: Master's thesis
Year: 2011
Downloads: 6
Quote: 0
Read: Download Dissertation

Abstract


The structure and classification of Lie algebra is discussed by looking into the lattice of its ideals, which is very interesting and helpful work. RDS type Lie algebras are defined by studying the lattice of its ideals. RDS type Lie Algebra is a special class of Lie Algebra. We define it through studying its ideal lattice. This class of Lie algebras is more than the semi-simple Lie algebra so it can help us to accelerate the whole Lie algebras.This paper is divided into four chapters.The first chapter Some properties of n-RDS type Lie algebras are obtained and a series of results are obtained when the base field is characteristic zero and algebraically closed. Particularly, in the case of n=2 all the n-RDS type Lie algebras are constructed.The second chapter We give some properties of RDS type Lie algebras. The existence theorem of solvable RDS type Lie algebras is presented.The third chapter The structure and classification of Lie algebras whose dimensional is lower or equal to four. we give the amendment of results about four dimensional solvable RDS type Lie algebras and study the five dimensional unsolvable Lie algebras whose central dimensional is 1 to determine not RDS type Lie algebra.The forth chapter Depending on characterizing the ideals of Lie Algebra, a new class of RDS type Lie algebra is constructed.The main work of this paper is to study of RDS type Lie Algebras. This paper is above three chapters, depending on characterizing the ideals of Lie Algebra, a new class of RDS type Lie algebra is constructed, and establish the foundation for studying the high dimensional RDS type Lie algebra.

Related Dissertations

  1. Dalian Development Zone Development Strategy of the public fitness center,G812.7
  2. FSF-Modules and Rational Invariants of Special Subgroups of Classical Groups,O153.3
  3. Research on Applying of Shared Service Management Mode in Corporate Finance Management,F275
  4. Virasoro algebra associated with a class of vertex Lie algebra representation,O152.5
  5. Essential Tension,G40
  6. College Ideological Education at This Stage the Main Problems and the Countermeasures,G641
  7. Exploration of the Ideals and Convictions of Higher Education for "Post-90’s" College Students,G641
  8. Guangzhou City Building Materials Distribution Development Research,F426.92
  9. Research and Implementation on IP Reconstruction for Guangdong TV Call-center,TN99
  10. Application of Improving Call Center Service Quality with 6sigma Methods,F592.6
  11. The Research of Multinational Corporation for Financial Shared Service Application,F275
  12. The Study on Formation and Generality of the World’s Higher Education Center,G640
  13. The Influence of s-quasinormally Embedded and Weakly s-supplemented Subgroups on the Structure of Finite Groups,O152.1
  14. Jiamusi University Data Center Management System Design and Implementation,TP311.52
  15. Research of Fuzzy Clustering Based on Fuzzy Quotient Space,O159
  16. Research on DBS Imaging Technique for MMW Terminal Guidance Radar,TJ761.14
  17. (∈，∈∨qλ,μ-fuzzy Ideals of Semirings,O153.3
  18. (∈，∈∨qλ,μ)-Fuzzy Inclines and Soft Inclines,O159
  19. Research on Fault-Tolerant Parallel Skyline Query Technology in Cloud Computing Environment,TP311.13
  20. The Design and Implementation of call center IVR system,TN99
  21. Empirical Research on Producer Services Evaluation and Central Effect of Central Cities in China,F224

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