Matches in SemOpenAlex for { <https://semopenalex.org/work/W15112968> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W15112968 abstract "It is known that, for generic q, the H-invariant prime ideals in O-q(M-m,M-p(C)) are generated by quantum minors (see S. Launois, Les ideaux premiers invariants de O-q(M-m,M-p(C)), J. Alg., in press). In this paper, m and p being given, we construct an algorithm which computes a generating set of quantum minors for each H-invariant prime ideal in O-q(M-m,M-p(C)). We also describe, in the general case, an explicit generating set of quantum minors for some particular H-invariant prime ideals in O-q(M-m,M-p(C)). In particular, if (Y-i,Y-alpha)((i,alpha)is an element of[1,m]x[1,p]) denotes the matrix of the canonical generators of O-q(M-m,M-p(C)), we prove that, if u greater than or equal to 3, the ideal in O-q(M-m,M-p(C)) generated by Y-1,Y-p and the u x u quantum minors is prime. This result allows Lenagan and Rigal to show that the quantum determinantal factor rings of O-q(M-m,M-p(C)) are maximal orders (see T. H. Lenagan and L." @default.
- W15112968 created "2016-06-24" @default.
- W15112968 creator A5079778293 @default.
- W15112968 date "2004-01-01" @default.
- W15112968 modified "2023-09-23" @default.
- W15112968 title "Generators for H-invariant prime ideals in O-q(M-m,M-p(C))" @default.
- W15112968 doi "https://doi.org/10.1017/s001309150200718" @default.
- W15112968 hasPublicationYear "2004" @default.
- W15112968 type Work @default.
- W15112968 sameAs 15112968 @default.
- W15112968 citedByCount "0" @default.
- W15112968 crossrefType "journal-article" @default.
- W15112968 hasAuthorship W15112968A5079778293 @default.
- W15112968 hasConcept C111472728 @default.
- W15112968 hasConcept C114614502 @default.
- W15112968 hasConcept C118615104 @default.
- W15112968 hasConcept C121332964 @default.
- W15112968 hasConcept C138885662 @default.
- W15112968 hasConcept C174072685 @default.
- W15112968 hasConcept C184992742 @default.
- W15112968 hasConcept C190470478 @default.
- W15112968 hasConcept C2776639384 @default.
- W15112968 hasConcept C2779467367 @default.
- W15112968 hasConcept C33923547 @default.
- W15112968 hasConcept C62520636 @default.
- W15112968 hasConceptScore W15112968C111472728 @default.
- W15112968 hasConceptScore W15112968C114614502 @default.
- W15112968 hasConceptScore W15112968C118615104 @default.
- W15112968 hasConceptScore W15112968C121332964 @default.
- W15112968 hasConceptScore W15112968C138885662 @default.
- W15112968 hasConceptScore W15112968C174072685 @default.
- W15112968 hasConceptScore W15112968C184992742 @default.
- W15112968 hasConceptScore W15112968C190470478 @default.
- W15112968 hasConceptScore W15112968C2776639384 @default.
- W15112968 hasConceptScore W15112968C2779467367 @default.
- W15112968 hasConceptScore W15112968C33923547 @default.
- W15112968 hasConceptScore W15112968C62520636 @default.
- W15112968 hasLocation W151129681 @default.
- W15112968 hasOpenAccess W15112968 @default.
- W15112968 hasPrimaryLocation W151129681 @default.
- W15112968 hasRelatedWork W1496719766 @default.
- W15112968 hasRelatedWork W1517211899 @default.
- W15112968 hasRelatedWork W1635573508 @default.
- W15112968 hasRelatedWork W1976404113 @default.
- W15112968 hasRelatedWork W1980974501 @default.
- W15112968 hasRelatedWork W1998278121 @default.
- W15112968 hasRelatedWork W1998968937 @default.
- W15112968 hasRelatedWork W2019592912 @default.
- W15112968 hasRelatedWork W2020381748 @default.
- W15112968 hasRelatedWork W2057875372 @default.
- W15112968 hasRelatedWork W2071997637 @default.
- W15112968 hasRelatedWork W2075626150 @default.
- W15112968 hasRelatedWork W2086046755 @default.
- W15112968 hasRelatedWork W2110075639 @default.
- W15112968 hasRelatedWork W2129678180 @default.
- W15112968 hasRelatedWork W2136619024 @default.
- W15112968 hasRelatedWork W2137545929 @default.
- W15112968 hasRelatedWork W2161549472 @default.
- W15112968 hasRelatedWork W2950893208 @default.
- W15112968 hasRelatedWork W2253745500 @default.
- W15112968 isParatext "false" @default.
- W15112968 isRetracted "false" @default.
- W15112968 magId "15112968" @default.
- W15112968 workType "article" @default.