Title
Affine equivalent classes of parallelohedra
Abstract
In the paper the affine equivalence relation in the set of parallelohedra is studied. One proves the uniqueness theorem for a wide class of d-dimensional parallelohedra. From here it follows that for every d (≥2) the space of affine equivalent classes of d-dimensional primitive parallelohedra has dimension d(d+1)/2−1.
Year
DOI
Venue
2010
10.1007/978-3-642-24983-9_6
CGGA
Keywords
Field
DocType
d-dimensional parallelohedra,affine equivalence relation,uniqueness theorem,wide class,affine equivalent class,d-dimensional primitive parallelohedra
Affine transformation,Discrete mathematics,Hexagonal prism,Uniqueness theorem for Poisson's equation,Pure mathematics,Affine equivalence,Mathematics,Rhombic dodecahedron
Conference
Volume
ISSN
Citations 
7033
0302-9743
1
PageRank 
References 
Authors
0.47
2
3
Name
Order
Citations
PageRank
Nikolai Dolbilin121.63
Jin-ichi Itoh24710.17
Chie Nara355.54