Antichains in weight posets associated with gradings of simple Lie algebras

DOI10.1007/s00209-015-1527-3zbMath1333.17010arXiv1411.7683OpenAlexW1944149689MaRDI QIDQ897519

Dmitri I. Panyushev

Publication date: 7 December 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7683

zbMATH Keywords

root systemgraded posetgraded Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Combinatorics of partially ordered sets (06A07) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Related Items (3)

Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes ⋮ Minuscule representations and Panyushev conjectures ⋮ Glorious pairs of roots and abelian ideals of a Borel subalgebra

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