Details
Original language | English |
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Pages (from-to) | 567–583 |
Number of pages | 17 |
Journal | Archiv der Mathematik |
Volume | 123 |
Issue number | 6 |
Early online date | 1 Oct 2024 |
Publication status | Published - Dec 2024 |
Abstract
Keywords
- 16T30, 17B22, 52C35, Algebraic groups, Root system, Weyl group
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Archiv der Mathematik, Vol. 123, No. 6, 12.2024, p. 567–583.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A classification of generalized root systems
AU - Cuntz, Michael
AU - Mühlherr, B.
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/12
Y1 - 2024/12
N2 - Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between angles and sums and differences of elements. They conjecture that every generalized root system is equivalent to one associated to a restriction of a Weyl arrangement. In this note we prove the conjecture and provide a complete classification of generalized root systems up to equivalence.
AB - Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between angles and sums and differences of elements. They conjecture that every generalized root system is equivalent to one associated to a restriction of a Weyl arrangement. In this note we prove the conjecture and provide a complete classification of generalized root systems up to equivalence.
KW - 16T30
KW - 17B22
KW - 52C35
KW - Algebraic groups
KW - Root system
KW - Weyl group
UR - http://www.scopus.com/inward/record.url?scp=85205358085&partnerID=8YFLogxK
U2 - 10.1007/s00013-024-02046-1
DO - 10.1007/s00013-024-02046-1
M3 - Article
VL - 123
SP - 567
EP - 583
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 6
ER -