Arrangements of ideal type are inductively free.
| Autor: | Cuntz, Michael, Röhrle, Gerhard, Schauenburg, Anne |
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| Zdroj: | International Journal of Algebra & Computation; Aug2019, Vol. 29 Issue 5, p761-773, 13p |
| Abstrakt: | Extending earlier work by Sommers and Tymoczko, in 2016, Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type 𝒜 ℐ stemming from an ideal ℐ in the set of positive roots of a reduced root system is free. Recently, Röhrle showed that a large class of the 𝒜 ℐ satisfy the stronger property of inductive freeness and conjectured that this property holds for all 𝒜 ℐ . In this paper, we confirm this conjecture. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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