A Journey Through Representation Theory From Finite Groups to Quivers via Algebras /
This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | Universitext,
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| Témata: | |
| ISBN: | 9783319982717 |
| ISSN: | 0172-5939 |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618101117.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 181023s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319982717 | ||
| 024 | 7 | |a 10.1007/978-3-319-98271-7 |2 doi | |
| 035 | |a CVTIDW10917 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Gruson, Caroline. |4 aut | |
| 245 | 1 | 2 | |a A Journey Through Representation Theory |h [electronic resource] : |b From Finite Groups to Quivers via Algebras / |c by Caroline Gruson, Vera Serganova. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XIII, 223 p. |b online resource. | ||
| 490 | 1 | |a Universitext, |x 0172-5939 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a Introduction to Representation Theory of Finite Groups -- Modules with Applications to Finite Groups -- Representations of Compact Groups -- Results About Unitary Representations -- On Algebraic Methods -- Symmetric Groups, Schur-Weyl Duality and Positive Self-adjoint Hopf Algebras -- Introduction to representation theory of quivers -- Representations of Dynkin and affine quivers -- Applications of quivers -- Bibliography -- Index. | |
| 516 | |a text file PDF | ||
| 520 | |a This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings. | ||
| 650 | 0 | |a Group theory. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-98271-7 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE08197 | ||
| 919 | |a 978-3-319-98271-7 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 236581 |d 236581 | ||