Geodesic
THE PRIME IDEALS AND SIMPLE MODULES OF THE UNIVERSAL ENVELOPING ALGEBRA U(b⋉V2)
Glasgow mathematical journal, Tome 62 (2020), pp. S77-S98

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Let b be the Borel subalgebra of the Lie algebra sl2 and V2 be the simple two-dimensional sl2-module. For the universal enveloping algebra $\[{\cal A}: = U(\gb \ltimes {V_2})\]$ of the semi-direct product b⋉V2 of Lie algebras, the prime, primitive and maximal spectra are classified. Please approve edit to the sentence “The sets of completely prime...”.The sets of completely prime ideals of $\[{\cal A}\]$ are described. The simple unfaithful $\[{\cal A}\]$-modules are classified and an explicit description of all prime factor algebras of $\[{\cal A}\]$ is given. The following classes of simple U(b⋉V2)-modules are classified: the Whittaker modules, the K[X]-torsion modules and the K[E]-torsion modules. 
BAVULA, VOLODYMYR V.; LU, TAO. THE PRIME IDEALS AND SIMPLE MODULES OF THE UNIVERSAL ENVELOPING ALGEBRA U(b⋉V2). Glasgow mathematical journal, Tome 62 (2020), pp. S77-S98. doi: 10.1017/S0017089519000302
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     author = {BAVULA, VOLODYMYR V. and LU, TAO},
     title = {THE {PRIME} {IDEALS} {AND} {SIMPLE} {MODULES} {OF} {THE} {UNIVERSAL} {ENVELOPING} {ALGEBRA} {U(b\ensuremath{\ltimes}V2)}},
     journal = {Glasgow mathematical journal},
     pages = {S77--S98},
     year = {2020},
     volume = {62},
     number = {S1},
     doi = {10.1017/S0017089519000302},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000302/}
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