dc.identifier.uri |
http://dx.doi.org/10.15488/2299 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2325 |
|
dc.contributor.author |
Backhaus, Teodor
|
|
dc.contributor.author |
Fang, Xin
|
|
dc.contributor.author |
Fourier, Ghislain
|
|
dc.date.accessioned |
2017-11-17T08:34:56Z |
|
dc.date.available |
2018-03-20T23:05:15Z |
|
dc.date.issued |
2017 |
|
dc.identifier.citation |
Backhaus, T.; Fang, X.; Fourier, G.: Degree cones and monomial bases of lie algebras and quantum groups. In: Glasgow Mathematical Journal 59 (2017), Nr. 3, S. 595-621. DOI: https://doi.org/10.1017/S0017089516000422 |
|
dc.description.abstract |
We provide ℕ-filtrations on the negative part Uq(−) of the quantum group associated to a finite-dimensional simple Lie algebra , such that the associated graded algebra is a skew-polynomial algebra on −. The filtration is obtained by assigning degrees to Lusztig's quantum PBW root vectors. The possible degrees can be described as lattice points in certain polyhedral cones. In the classical limit, such a degree induces an ℕ-filtration on any finite-dimensional simple -module. We prove for type An, Cn, B3, D4 and G2 that a degree can be chosen such that the associated graded modules are defined by monomial ideals, and conjecture that this is true for any g. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Cambridge : Cambridge University Press |
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dc.relation.ispartofseries |
Glasgow Mathematical Journal 59 (2017), Nr. 3 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
degree cones |
eng |
dc.subject |
monomial bases |
eng |
dc.subject |
lie algebras |
eng |
dc.subject |
quantum groups |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Degree cones and monomial bases of lie algebras and quantum groups |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
0017-0895 |
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dc.relation.doi |
https://doi.org/10.1017/S0017089516000422 |
|
dc.bibliographicCitation.issue |
3 |
|
dc.bibliographicCitation.volume |
59 |
|
dc.bibliographicCitation.firstPage |
595 |
|
dc.bibliographicCitation.lastPage |
621 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|