Regular Complex Polytopes
E415575
"Regular Complex Polytopes" is a seminal mathematical monograph by H. S. M. Coxeter that systematically develops the theory of regular polytopes in complex projective spaces.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Regular Complex Polytopes canonical | 1 |
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ scholarly work ⓘ |
| associatedWith |
Coxeter groups theory
ⓘ
reflection group theory ⓘ |
| audience |
graduate students in mathematics
ⓘ
research mathematicians ⓘ |
| author |
H. S. M. Coxeter
ⓘ
H. S. M. Coxeter ⓘ
surface form:
Harold Scott MacDonald Coxeter
|
| contribution |
classification of regular complex polytopes associated with complex reflection groups
ⓘ
systematic development of the theory of regular complex polytopes ⓘ |
| describes | regular polytopes in complex projective space ⓘ |
| field |
complex geometry
ⓘ
geometry ⓘ mathematics ⓘ polytope theory ⓘ |
| genre |
advanced mathematics text
ⓘ
research monograph ⓘ |
| hasAuthorProfession |
geometer
ⓘ
mathematician ⓘ |
| hasPart |
chapters on complex reflection groups
ⓘ
chapters on examples of regular complex polytopes ⓘ chapters on symmetry and regularity conditions ⓘ |
| influencedBy | Regular Polytopes ⓘ |
| language | English ⓘ |
| mathematicalSubjectClassification |
20F55
ⓘ
51M20 ⓘ 52B11 ⓘ |
| notableFor |
detailed classification of regular complex polytopes
ⓘ
extending the theory of regular polytopes to complex projective spaces ⓘ rigorous group-theoretic approach to complex polytopes ⓘ |
| relatedWork | Regular Polytopes ⓘ |
| subjectOf | research in higher-dimensional geometry ⓘ |
| topic |
Coxeter group
ⓘ
surface form:
Coxeter groups
complex projective spaces ⓘ complex reflection groups ⓘ complex tessellations ⓘ regular polytopes ⓘ symmetry ⓘ unitary reflection groups ⓘ |
| usedIn |
the study of complex hyperplane arrangements
ⓘ
the study of complex reflection groups ⓘ the study of symmetry in complex projective spaces ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.