Back to Search
Start Over
A quantum-trace determinantal formula for matrix commutators, and applications
- Source :
-
Linear Algebra & its Applications . Apr2012, Vol. 436 Issue 7, p2380-2397. 18p. - Publication Year :
- 2012
-
Abstract
- Abstract: In 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 436
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 71697766
- Full Text :
- https://doi.org/10.1016/j.laa.2011.07.010