This book sets out an account of the tools which Frobenius used to
discover representation theory for nonabelian groups and describes its
modern applications. It provides a new viewpoint from which one can
examine various aspects of representation theory and areas of
application, such as probability theory and harmonic analysis. For
example, the focal objects of this book, group matrices, can be
thought of as a generalization of the circulant matrices which are
behind many important algorithms in information science. The book is
designed to appeal to several audiences, primarily mathematicians
working either in group representation theory or in areas of
mathematics where representation theory is involved. Parts of it may
be used to introduce undergraduates to representation theory by
studying the appealing pattern structure of group matrices. It is also
intended to attract readers who are curious about ideas close to the
heart of group representation theory, which do not usually appear in
modern accounts, but which offer new perspectives.
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Produktdetaljer
ISBN
9783030283001
Publisert
2019
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter