Geodesic
The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum
Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 688-703

Voir la notice de l'article provenant de la source Cambridge

DOI

The prime, completely prime, maximal, and primitive spectra are classified for the universal enveloping algebra of the Schrödinger algebra. The explicit generators are given for all of these ideals. A counterexample is constructed to the conjecture of Cheng and Zhang about nonexistence of simple singular Whittaker modules for the Schrödinger algebra (and all such modules are classified). It is proved that the conjecture holds ‘generically’.
DOI : 10.4153/CMB-2018-009-1
Mots-clés : 17B10, 16D25, 16D60, 16D70, 16P50, prime ideal, weight module, simple module, centralizer, Whittaker module 
Bavula, V. V.; Lu, T. The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum. Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 688-703. doi: 10.4153/CMB-2018-009-1
@article{10_4153_CMB_2018_009_1,
     author = {Bavula, V. V. and Lu, T.},
     title = {The {Universal} {Enveloping} {Algebra} of the {Schr\"odinger} {Algebra} and its {Prime} {Spectrum}},
     journal = {Canadian mathematical bulletin},
     pages = {688--703},
     year = {2018},
     volume = {61},
     number = {4},
     doi = {10.4153/CMB-2018-009-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-009-1/}
}
TY  - JOUR
AU  - Bavula, V. V.
AU  - Lu, T.
TI  - The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum
JO  - Canadian mathematical bulletin
PY  - 2018
SP  - 688
EP  - 703
VL  - 61
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-009-1/
DO  - 10.4153/CMB-2018-009-1
ID  - 10_4153_CMB_2018_009_1
ER  - 
%0 Journal Article
%A Bavula, V. V.
%A Lu, T.
%T The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum
%J Canadian mathematical bulletin
%D 2018
%P 688-703
%V 61
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-009-1/
%R 10.4153/CMB-2018-009-1
%F 10_4153_CMB_2018_009_1

Cité par Sources :