SULJE VALIKKO

Englanninkielisten kirjojen poikkeusaikata... LUE LISÄÄ

avaa valikko

Hopf Algebras and Root Systems
131,60 €
MP-AMM American Mathematical
Sivumäärä: 582 sivua
Asu: Kovakantinen kirja
Julkaisuvuosi: 2020, 30.08.2020 (lisätietoa)
Kieli: Englanti
This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras.

As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization.

Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
LISÄÄ OSTOSKORIIN
Tuote on tilapäisesti loppunut ja sen saatavuus on epävarma. Seuraa saatavuutta.
Myymäläsaatavuus
Helsinki
Tapiola
Turku
Tampere
Hopf Algebras and Root Systems
Näytä kaikki tuotetiedot
ISBN:
9781470452322
Sisäänkirjautuminen
Kirjaudu sisään
Rekisteröityminen
Oma tili
Omat tiedot
Omat tilaukset
Omat laskut
Lisätietoja
Asiakaspalvelu
Tietoa verkkokaupasta
Toimitusehdot
Tietosuojaseloste