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Algebra and Discrete Mathematics, 2021, Volume 31, Issue 1, Pages 1–16
DOI: https://doi.org/10.12958/adm1761 (Mi adm785) 		 
RESEARCH ARTICLE

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

V. Bavulaa, T. Lub

a Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, UK
b School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, China
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DOI: https://doi.org/10.12958/adm1761
Abstract: 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.
Keywords: prime ideal, maximal ideal, universal enveloping algebra, prime spectrum.
Funding agency Grant number
National Natural Science Foundation of China 11701190
Royal Society
Both authors were supported by the NSFC 11701190. V. Bavula was supported by the Royal Society.
Received: 25.01.2021
Document Type: Article
MSC: 17B10, 16D25, 16D60, 16D70, 16P50
Language: English
Citation: V. Bavula, T. Lu, “The prime spectrum of the universal enveloping algebra of the $1$-spatial ageing algebra and of $U(\mathfrak{gl}_2)$”, Algebra Discrete Math., 31:1 (2021), 1–16
Citation in format AMSBIB
\Bibitem{BavLu21}
\by V.~Bavula, T.~Lu
\paper The prime spectrum of the universal enveloping algebra of the $1$-spatial ageing algebra and of~$U(\mathfrak{gl}_2)$
\jour Algebra Discrete Math.
\yr 2021
\vol 31
\issue 1
\pages 1--16
\mathnet{http://mi.mathnet.ru/adm785}
\crossref{https://doi.org/10.12958/adm1761}
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