Quantum Matrix Pairs
量子代数
2007-05-23 v2 广义相对论与量子宇宙学
高能物理 - 理论
数学物理
math.MP
摘要
The notion of quantum matrix pairs is defined. These are pairs of matrices with non-commuting entries, which have the same pattern of internal relations, q-commute with each other under matrix multiplication, and are such that products of powers of the matrices obey the same pattern of internal relations as the original pair. Such matrices appear in an approach by the authors to quantizing gravity in 2 space and 1 time dimensions with negative cosmological constant on the torus. Explicit examples and transformations which generate new pairs from a given pair are presented.
引用
@article{arxiv.math/9911015,
title = {Quantum Matrix Pairs},
author = {J. E. Nelson and R. F. Picken},
journal= {arXiv preprint arXiv:math/9911015},
year = {2007}
}
备注
14 pages, no figures, Latex. Revised version (June 2000) to appear in Lett. Math. Phys