Pregled bibliografske jedinice broj: 480681
Automorphism groups of root systems matroids
Automorphism groups of root systems matroids // Euoropean journal of combinatorics, 32 (2011), 3; 383-389 doi:10.1016/j.ejc.2010.11.003 (međunarodna recenzija, članak, znanstveni)
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Naslov
Automorphism groups of root systems matroids
Autori
Dutour Sikirić, Mathieu ; Felikson, Anna ; Tumarkin, Pavel
Izvornik
Euoropean journal of combinatorics (0195-6698) 32
(2011), 3;
383-389
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
root system ; matroid
Sažetak
Given a root system R, the vector system A is obtained by taking a representative v in each antipodal pair {;v, - v};. The matroid M(R) is formed by all independent subsets of (R) over bar. The automorphism group of a matroid is the group of permutations preserving its independent subsets. We prove that the automorphism groups of all irreducible root system matroids M(R) are uniquely determined by their independent sets of size 3. As a corollary, we compute these groups explicitly, and thus complete the classification of the automorphism groups of root system matroids. (C) 2010 Elsevier Ltd. All rights reserved.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
