TY - JOUR
AU - 이재혁
DA - 2018
UR - http://dspace.ewha.ac.kr/handle/2015.oak/246473
AB - We consider certain En-type root lattices embedded within the standard Lorentzian lattice Z(n+1) (3 <= n <= 8) and study their discrete geometry from the point of view of del Pezzo surface geometry. The lattice Z(n+1) decomposes as a disjoint union of affine hyperplanes which satisfy a certain periodicity. We introduce the notions of line vectors, rational conic vectors, and rational cubics vectors and their relations to E-polytopes. We also discuss the relation between these special vectors and the combinatorics of the Gosset polytopes of type (n-4)(21).
LA - English
PB - MDPI
KW - lorentzian lattice
KW - weyl group
KW - root lattice
KW - dual lattice
KW - lines
KW - gosset polytope
KW - E-polytope
TI - Lorentzian Lattices and E-Polytopes
IS - 10
VL - 10
DO - 10.3390/sym10100443
ER -