Cluster algebra structures on Poisson nilpotent algebras /
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| Author / Creator: | Goodearl, K. R., author. |
|---|---|
| Imprint: | Providence, RI, USA : American Mathematical Society, [2023] ©2023 |
| Description: | v, 100 pages ; 26 cm |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; number 1445 Memoirs of the American Mathematical Society ; no.1445. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13378078 |
Table of Contents:
- Introduction
- Poisson algebras
- Cluster algebras and Poisson cluster algebras
- Poisson-primes in Poisson-Ore extensions
- Iterated Poisson-Ore extensions
- Symmetry and maximal tori for Poisson-CGL extensions
- One-step mutations in Poisson-CGL extensions
- Homogenous Poisson-prime elements for subalgebras of symmetric Poisson-CGL extensions
- Chains of mutations in symmetric Poisson-CGL extensions
- Division properties of mutations between Poisson-CGL extension presenations
- Symmetric Poisson nilpotent algebras and cluster algebras.