On orbits of antichains of positive roots
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Publication:1003611
DOI10.1016/j.ejc.2008.03.009zbMath1165.06001arXiv0711.3353OpenAlexW2042537647MaRDI QIDQ1003611
Publication date: 4 March 2009
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.3353
Partial orders, general (06A06) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Root systems (17B22)
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Cites Work
- Unnamed Item
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- Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals
- Orbits of antichains in ranked posets
- Short antichains in root systems, semi-Catalan arrangements, and \(B\)-stable subspaces.
- Ad-nilpotent ideals of a Borel subalgebra. II.
- ad-nilpotent ideals of a Borel subalgebra: generators and duality
- Orbits of antichains revisited
- The poset of positive roots and its relatives
- B-Stable Ideals in the Nilradical of a Borel Subalgebra
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