Cargando…
On the spectra of quantum groups /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2013.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 229, no. 1078. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""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 ^{ }_{Â"}""; ""Chapter 3. A description of the centers of Josephâ€?s localizations""
- ""3.1. Statement of the main result""""3.2. Associated root and weight spaces""; ""3.3. One side inclusion in \thref{BFW-CENTER}""; ""3.4. Josephâ€?s description of _{ }""; ""3.5. Homogeneous -normal elements of the algebras ^{Â"}_{ _{Â"}}""; ""3.6. Homogeneous -normal elements of the algebras _{ }""; ""3.7. Proof of \thref{BFW-CENTER}""; ""Chapter 4. Primitive ideals of _{ } and a Dixmier map for _{ }""; ""4.1. A formula for the primitive ideals of _{ }""; ""4.2. Structure of _{ } _{ } as a ^{ }Ã? ^{ }-homogeneous space""
- ""4.3. The standard Poisson Lie structure on and its symplectic leaves""""4.4. Equations for the symplectic leaves of (^{ }, _{ })""; ""4.5. A ^{ }Ã? ^{ }-equivariant Dixmier map for â??_{ }""; ""Chapter 5. Separation of variables for the algebras ^{Â"}_{ }""; ""5.1. Statement of the freeness result""; ""5.2. Leading terms of the normal elements _{ }^{Â"}(^{Â"}_{, })""; ""5.3. Proof of \thref{FREES}""; ""Chapter 6. A classification of the normal and prime elements of the De Conciniâ€?Kacâ€?Procesi algebras""; ""6.1. Statement of the classification result""
- ""6.2. Homogeneous normal and -normal elements of ^{Â"}_{ }""""6.3. A lemma on diagonal automorphisms of ^{ }_{Â"}""; ""6.4. Proof of \prref{NORMALP}""; ""6.5. Proof of \thref{NORMAL1}""; ""6.6. Prime and primitive ideals in the {0}-stratum of ^{Â"}_{ }.""; ""6.7. A classification of the prime elements of ^{Â"}_{ }""; ""Chapter 7. Module structure of _{ } over their subalgebras generated by Josephâ€?s normal elements""; ""7.1. Statement of the freeness result""; ""7.2. A Ã? -filtration of _{ }""; ""7.3. The action of â€?_{ } on _{ }""
- ""7.4. Structure of the algebras �_{ } 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""