Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes

DOI10.1007/s10801-016-0671-0zbMath1403.17013arXiv1412.0987OpenAlexW250161607WikidataQ115383753 ScholiaQ115383753MaRDI QIDQ314046

Dmitri I. Panyushev

Publication date: 12 September 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0987

zbMATH Keywords

root systemgraded Lie algebraCoxeter arrangementlower ideal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Cites Work

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• GENERALIZED CATALAN NUMBERS, WEYL GROUPS AND ARRANGEMENTS OF HYPERPLANES
• Exponents for 𝐵-stable ideals
• Quotients of Poincaré polynomials evaluated at \(-1\)

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