Group Theory : Classes, Representation & Connections, & Applications

Charles W Danellis

ISBN 10: 1608761754 / ISBN 13: 9781608761753

Editore: Nova Science Publishers Inc Mai 2010, 2010

Riguardo questo articolo

Neuware - 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.

Codice articolo 9781608761753

Dati bibliografici

• Titolo: Group Theory : Classes, Representation & Connections, & Applications
• Editore: Nova Science Publishers Inc Mai 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1608761754
• ISBN 13: 9781608761753
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.