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http://hdl.handle.net/123456789/3504Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Khurana, Dinesh | - |
| dc.date.accessioned | 2021-01-04T05:05:25Z | - |
| dc.date.available | 2021-01-04T05:05:25Z | - |
| dc.date.issued | 2012 | - |
| dc.identifier.citation | Linear Algebra and Its Applications, 436(7), pp.2380-2397. | en_US |
| dc.identifier.other | https://doi.org/10.1016/j.laa.2011.07.010 | - |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0024379511005222?via%3Dihub | - |
| dc.identifier.uri | http://hdl.handle.net/123456789/3504 | - |
| dc.description | Only IISERM authors are available in the record. | - |
| dc.description.abstract | In this paper, we establish a determinantal formula for 2×2 matrix commutators [X,Y]=XY-YX over a commutative ring, using (among other invariants) the quantum traces of X and Y. Special forms of this determinantal formula include a "trace version", and a "supertrace version". Some applications of these formulas are given to the study of value sets of binary quadratic forms, the factorization of 2×2 integral matrices, and the solution of certain simultaneous diophantine equations over commutative rings. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Binary quadratic forms | en_US |
| dc.subject | Determinants | en_US |
| dc.subject | Diophantine equations | en_US |
| dc.subject | Matrix commutators | en_US |
| dc.title | A quantum-trace determinantal formula for matrix commutators, and applications | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Articles | |
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|---|---|---|---|---|
| Need to add pdf.odt | 8.63 kB | OpenDocument Text | View/Open |
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