The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)

• Date: 2021
• Main Authors: Bavula, V., Lu, T.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: prime ideal; maximal ideal; universal enveloping algebra; prime spectrum; 17B10; 16D25; 16D60; 16D70; 16P50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1761
• Journal Title: Algebra and Discrete Mathematics

For the algebras in the title, their prime, primitive and maximal spectra are explicitly described. For each prime ideal an explicit set of generators is given. An explicit description of all the containments between primes is obtained.