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http://hdl.handle.net/1942/37496
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DC Field | Value | Language |
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dc.contributor.author | Le Bruyn, Lieven | - |
dc.contributor.author | OOMS, Alfons | - |
dc.date.accessioned | 2022-06-13T07:32:46Z | - |
dc.date.available | 2022-06-13T07:32:46Z | - |
dc.date.issued | 1985 | - |
dc.date.submitted | 2022-06-13T07:27:16Z | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 93 (3) , p. 397 -397 | - |
dc.identifier.uri | http://hdl.handle.net/1942/37496 | - |
dc.description.abstract | Let L be a finite-dimensional Lie algebra over a field k of characteristic zero, and U(L) its universal enveloping algebra. We show that the scmicenter of U(L) is a UFD. More generally, the same result holds when k is replaced by any factorial ring R of characteristic zero. Introduction. Throughout this note, L will be a nonzero finite-dimensional Lie algebra over a field k of characteristic zero. Let U(L) be the universal enveloping algebra of L with center Z(U(L)) and D(L) will be the division ring of quotients of U(L) with center Z(D(L)). For each X g L*, we denote by D(L)X the set of those u g D(L) such that xu-ux = X(x)u for all x g L. Its elements are called the semi-invariants of D(L) relative to X. Clearly, D(L) | - |
dc.language.iso | en | - |
dc.publisher | - | |
dc.rights | 1985 American Mathematical Society | - |
dc.title | The semicenter of an enveloping algebra is factorial | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 397 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 397 | - |
dc.identifier.volume | 93 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1090/S0002-9939-1985-0773989-0 | - |
dc.identifier.isi | A1985AEK2100004 | - |
local.provider.type | CrossRef | - |
local.uhasselt.international | no | - |
item.fulltext | With Fulltext | - |
item.accessRights | Closed Access | - |
item.contributor | Le Bruyn, Lieven | - |
item.contributor | OOMS, Alfons | - |
item.fullcitation | Le Bruyn, Lieven & OOMS, Alfons (1985) The semicenter of an enveloping algebra is factorial. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 93 (3) , p. 397 -397. | - |
crisitem.journal.issn | 0002-9939 | - |
crisitem.journal.eissn | 1088-6826 | - |
Appears in Collections: | Research publications |
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