Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/3504| Title: | A quantum-trace determinantal formula for matrix commutators, and applications |
| Authors: | Khurana, Dinesh |
| Keywords: | Binary quadratic forms Determinants Diophantine equations Matrix commutators |
| Issue Date: | 2012 |
| Publisher: | Elsevier |
| Citation: | Linear Algebra and Its Applications, 436(7), pp.2380-2397. |
| 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. |
| Description: | Only IISERM authors are available in the record. |
| URI: | https://www.sciencedirect.com/science/article/pii/S0024379511005222?via%3Dihub http://hdl.handle.net/123456789/3504 |
| Appears in Collections: | Research Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Need to add pdf.odt | 8.63 kB | OpenDocument Text | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.