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Quantum cluster algebras structures on quantum nilpotent algebras /
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1169. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Chapter 1. Introduction Chapter 2. Quantum cluster algebras Chapter 3. Iterated skew polynomial algebras and noncommutative UFDs Chapter 4. One-step mutations in CGL extensions Chapter 5. Homogeneous prime elements for subalgebras of symmetric CGL extensions Chapter 6. Chains of mutations in symmetric CGL extensions Chapter 7. Division properties of mutations between CGL extension presentations Chapter 8. Symmetric CGL extensions and quantum cluster algebras Chapter 9. Quantum groups and quantum Schubert cell algebras Chapter 10. Quantum cluster algebra structures on quantum Schubert cell algebras.