이재혁
2018-11-15T16:30:07Z
2018-11-15T16:30:07Z
2018
2073-8994
OAK-23599
http://dspace.ewha.ac.kr/handle/2015.oak/246473
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).
English
MDPI
lorentzian lattice
weyl group
root lattice
dual lattice
lines
gosset polytope
E-polytope
Lorentzian Lattices and E-Polytopes
Article
10
10
SCIE
SCOPUS
SYMMETRY-BASEL
10.3390/sym10100443
WOS:000448561000023
2-s2.0-85055752205
Clingher, Adrian
Lee, Jae-Hyouk
이재혁(27169415900)
20181231112831