Тип публикации: статья из журнала
Год издания: 2009
Идентификатор DOI: 10.1088/1751-8113/42/45/454023
Аннотация: We give the basic definitions and some theoretical results about hyperdeterminants, introduced by A Cayley in 1845. We prove integrability (understood as 4D consistency) of a nonlinear difference equation defined by the 2 x 2 x 2-hyperdeterminant. This result gives rise to the following hypothesis: the difference equations defined Показать полностьюby hyperdeterminants of any size are integrable. We show that this hypothesis already fails in the case of the 2 x 2 x 2 x 2-hyperdeterminant.
Журнал: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Выпуск журнала: Vol. 42, Is. 45
ISSN журнала: 17518113
Место издания: BRISTOL
Издатель: IOP PUBLISHING LTD