Rank t H-primes in quantum matrices
| dc.creator | Launois, S. | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T05:02:19Z | |
| dc.date.available | 2026-07-07T05:02:19Z | |
| dc.description | Let K be a (commutative) field and consider a nonzero element q in K which is not a root of unity. Goodearl and Lenagan have shown that the number of H-primes in the algebra R of m times p quantum matrices which contain all (t+1) times (t+1) quantum minors but not all t times t quantum minors is a perfect square. The aim of this paper is to make precise their result: we prove that this number is equal to (t!)^2 S(n+1,t+1)^2, where S(n+1,t+1) denotes the Stirling number of second kind associated to n+1 and t+1. This result was conjectured by Goodearl, Lenagan and McCammond. The proof involves some closed formulas for the poly-Bernoulli numbers that were established by Arakawa-Kaneko and Kaneko. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310457 | |
| dc.identifier | http://arxiv.org/abs/math/0310457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69013 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Number Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W35; 20G42; 11B68; 11B73 | |
| dc.title | Rank t H-primes in quantum matrices | |
| dc.type | text |