Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/3499
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dc.contributor.authorKhurana, Dinesh-
dc.date.accessioned2021-01-04T04:46:58Z-
dc.date.available2021-01-04T04:46:58Z-
dc.date.issued2012-
dc.identifier.citationLinear Algebra and Its Applications 436(7), pp. 2380-2397en_US
dc.identifier.otherhttps://doi.org/10.1016/j.laa.2011.07.010-
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0024379511005222?via%3Dihub-
dc.identifier.urihttp://hdl.handle.net/123456789/3499-
dc.descriptionOnly IISERM authors are available in the record.-
dc.description.abstractIn this paper, we establish a determinantal formula for matrix commutators over a commutative ring, using (among other invariants) the quantum traces of and . 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 integral matrices, and the solution of certain simultaneous diophantine equations over commutative rings.en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectMatrix commutatorsen_US
dc.subjectDeterminantsen_US
dc.subjectBinary quadratic formsen_US
dc.subjectDiophantine equationsen_US
dc.titleA quantum-trace determinantal formula for matrix commutators, and applicationsen_US
dc.typeArticleen_US
Appears in Collections:Research Articles

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