Admissible Sequences, Preprojective Representations of Quivers, and Reduced Words in the Weyl Group of a Kac-Moody Algebra

DOI10.1093/imrn/rnm013zbMath1135.16014arXivmath/0608612OpenAlexW1989959530MaRDI QIDQ5428096

Allen N. Pelley, M. M. Kleiner

Publication date: 28 November 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608612

zbMATH Keywords

reduced expressionsWeyl groupsKac-Moody algebrasCoxeter elementsadmissible sequencespreprojective representations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20)

Related Items (7)

Preprojective roots and graph monoids of Coxeter groups ⋮ The action of a Coxeter element on an affine root system ⋮ Total positivity for loop groups. II: Chevalley generators ⋮ Sequences of reflection functors and the preprojective component of a valued quiver. ⋮ From the Tamari Lattice to Cambrian Lattices and Beyond ⋮ Powers of Coxeter elements in infinite groups are reduced ⋮ Embeddings of root systems. II: Permutation root systems.

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