ENGLISH

Group Theory: Classes, Representation and Connections, and Applications (Mathematics Research Developments)

By Charles W. Danellis

Book information

Publisher
Nova Science Pub Inc
Year
2010
ISBN
1608761754, 9781608761753, 9781613249680
LCC
QA174.2 .G756 2009
Google Books ID
V1MgQCAAJAAA
Open Library ID
OL23677923M
Language
english
Format
PDF
Filesize
3 MB (2832114 bytes)
Series
Mathematics Research Developments
Pages
343\343
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00
Математика;Общая алгебра;Теория групп;Теория предс

Description

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.

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