论文标题
电网和格罗夫代数
Electrical networks and the Grove algebra
论文作者
论文摘要
我们研究了平面电网空间的常规功能环，我们将其构成了格罗夫代数。该代数是Plücker环的电气类似物，它是通过不变理论进行的。我们开发了双树林的组合来研究格罗夫代数，并为格罗夫理想找到了二次的gröbner基础。
We study the ring of regular functions on the space of planar electrical networks, which we coin the grove algebra. This algebra is an electrical analogue of the Plücker ring studied classically in invariant theory. We develop the combinatorics of double groves to study the grove algebra, and find a quadratic Gröbner basis for the grove ideal.
