Group theory : classes, representation and connections, and applications

著者

    • Danellis, Charles W.

書誌事項

Group theory : classes, representation and connections, and applications

Charles W. Danellis editor

（Mathematics research developments series）

Nova Science Publishers, c2010

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many applications in physics and chemistry. This new and important book gathers the latest research from around the globe in the study of group theory and highlights such topics as: application of symmetry analysis to the description of ordered structures in crystals, a survey of Lie Group analysis, graph groupoids and representations, and others.

目次

  • Preface
  • Application of Symmetry Analysis to Description of Ordered Structures in Crystals
  • Higher Algebraic K - Theory of G - Representations for the Actions of Finite & Algebraic Groups G
  • Liberal Nationalism, Citizenship & Integration
  • The Consideration of Rape as Torture & as Genocide: Some Implications for Group Theory
  • Group Work - Not One, But a Great Many Processes: Understanding Group Work Dynamics
  • Exceptional Groups, Symmetric Spaces & Applications
  • A Survey of Some Results in the LIE Group Analysis
  • The Continuous Shearlet Transform in Higher Dimensions: Variations of a Theme
  • Graph Groupoids & Corresponding Representations
  • The Group Aspect in the Physical Interpretation of General Relativity Theory
  • Long Time Behaviour of the Wiener Process on a Path Group
  • Index.

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