Overview

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.

Full Product Details

Author:   Charles W Danellis
Publisher:   Nova Science Publishers Inc
Imprint:   Nova Science Publishers Inc
Weight:   0.676kg
ISBN:  

9781608761753

ISBN 10:   1608761754
Pages:   331
Publication Date:   20 May 2010
Recommended Age:   From 8 to 12 years
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

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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