Group matrices, group determinants and representation theory :
نام عام مواد
[Book]
ساير اطلاعات عنواني
the mathematical legacy of Frobenius /
نام نخستين پديدآور
Kenneth W. Johnson.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Springer,
تاریخ نشرو بخش و غیره
2019.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xxv, 384 pages) :
ساير جزييات
illustrations.
فروست
عنوان فروست
Lecture notes in mathematics,
مشخصه جلد
2233
شاپا ي ISSN فروست
0075-8434 ;
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and indexes.
یادداشتهای مربوط به مندرجات
متن يادداشت
Multiplicative Forms on Algebras and the Group Determinant. -- Further GroupMatrices and Group Determinants. -- Norm Forms and Group Determinant Factors. -- S-Rings, Gelfand Pairs and Association Schemes. -- The 2-Characters of a Group and theWeak Cayley Table. -- The Extended k-Characters. -- Fourier Analysis on Groups, Random Walks and Markov Chains. -- K-Characters and n-Homomorphisms. -- K-Characters and n-Homomorphisms. -- Other Situations Involving Group Matrices. -- Spherical Functions on Groups. -- The Personal Characteristics of Frobenius.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783030283001
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783030282998
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Representations of groups.
موضوع مستند نشده
Representations of groups.
رده بندی ديویی
شماره
512/
.
22
ويراست
23
رده بندی کنگره
شماره رده
QA176
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )