most recent 30 from http://mathoverflow.net 2013-05-22T16:04:39Z http://mathoverflow.net/feeds/question/101485 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/101485/generalized-schur-polynomial-from-block-toeplitz-matrices Per Alexandersson 2012-07-06T12:18:48Z 2012-07-06T12:18:48Z

<p>By using the Jacobi-Trudi identity, one may interpret banded Toeplitz matrices, and minors of such matrices in terms of Schur polynomials, see for example <a href="http://www-stat.stanford.edu/~cgates/PERSI/papers/toeplitz02.pdf" rel="nofollow">http://www-stat.stanford.edu/~cgates/PERSI/papers/toeplitz02.pdf</a></p> <p>Now, my question is as follows: Is there a similar way to interpret banded block Toeplitz matrices in terms of Schur polynomials? (Maybe one needs to have some generalized version of Schur polynomials, or matrix-valued "polynomials?")</p>