Semisimple orbits of Lie algebras and card-shuffling measures on Coxeter groups

DOI10.1006/jabr.1999.8157zbMath0971.60048arXivmath/9903012OpenAlexW2087732341WikidataQ115395782 ScholiaQ115395782MaRDI QIDQ1970984

Jason Fulman

Publication date: 2 May 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903012

zbMATH Keywords

Weyl groupCoxeter groupuniform distributionhyperplane arrangementcard shuffle

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Linear algebraic groups over finite fields (20G40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Lie algebras of linear algebraic groups (17B45)

Related Items

Analysis of casino shelf shuffling machines, Descent algebras, hyperplane arrangements, and shuffling cards, Plethystic formulas for permutation enumeration, Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems, The distribution of descents in fixed conjugacy classes of the symmetric groups, Affine shuffles, shuffles with cuts, the Whitehouse module, and patience sorting, Counting semisimple orbits of finite Lie algebras by genus, Applications of symmetric functions to cycle and increasing subsequence structure after shuffles

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