1.

Record Nr.

UNINA9910481009603321

Autore

Yakimov Milen <1973->

Titolo

On the spectra of quantum groups / / Milen Yakimov

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2013

©2013

ISBN

1-4704-1532-1

Descrizione fisica

1 online resource (104 p.)

Collana

Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 229, Number 1078

Disciplina

530.14/3

Soggetti

Quantum groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 229, Number 1078 (fifth of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Previous results on spectra of quantum function algebras""; ""2.1. Quantized universal enveloping algebras""; ""2.2. Type 1 modules and braid group action""; ""2.3.   -prime ideals of Quantum Groups""; ""2.4. Sets of normal elements""; ""2.5. Localizations of quotients of   _{  }[  ] by its   -primes""; ""2.6. Spectral decomposition theorem for   _{  }[  ]""; ""2.7. The De Conciniâ€?Kacâ€?Procesi algebras""; ""2.8. A second presentation of   ^{  }_{±}""; ""Chapter 3. A description of the centers of Josephâ€?s localizations""

""7.4. Structure of the algebras   â€?_{  } and separation of variables for   _{  }""""7.5. Structure of the algebras   _{  } and freeness of   _{  } over   _{  }""; ""Chapter 8. A classification of maximal ideals of   _{  }[  ] and a question of Goodearl and Zhang""; ""8.1. A projection property of the ideal   _{(1,1)}""; ""8.2. Proof of \prref{PROJJ}""; ""8.3. Proof of \thref{MAX}""; ""8.4. Classification of         _{  }[  ] and a question of Goodearl and Zhang""; ""Chapter 9. Chain properties and homological applications""; ""9.1. Applications""