[seqfan] Re: Seq triangles that are unimodular
israel at math.ubc.ca
israel at math.ubc.ca
Fri Jul 14 17:30:06 CEST 2017
Any upper or lower triangular matrix with +-1's on the diagonal has
determinant +-1, so if its entries are integers so are its inverse's.
Cheers,
Robert
On Jul 14 2017, Peter Lawrence wrote:
> Pascal's triangle as a matrix turns out to be unimodular (inverse has all
> integer entries) Stirling numbers of first kind as matrix and of second
> kind are inverses of each other Fibonomal triangle as matrix is
> unimodular, A010048, and A103910 Gaussian Binomial Triangles turn out to
> be unimodular, e.g. A022166 and A135950
>
>Is there a theory of triangular unimodular matricies ?
>
> For a given rank they form a group under multiplication, is there a
> finite set of generators (it would seem not) ?, or a simple infinite set
> ?
>
>Any info or references would be appreciated
>
>Thanks,
>Peter A. Lawrence.
>
>--
>Seqfan Mailing list - http://list.seqfan.eu/
>
>
More information about the SeqFan
mailing list