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Hyperbolic subalgebras of hyperbolic Kac-Moody algebras

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Publication:430778
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DOI10.1007/s00031-011-9169-yzbMath1302.17038arXiv1012.1046OpenAlexW2963573273MaRDI QIDQ430778

Pavel Tumarkin, A. A. Felikson

Publication date: 26 June 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1046

zbMATH Keywords

Weyl groupshyperbolic Kac-Moody algebrasregular hyperbolic subalgebras


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)


Related Items

Reflection subgroups of odd-angled Coxeter groups.



Cites Work

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  • Embeddings of hyperbolic Kac-Moody algebras into \(E_{10}\)
  • Coxeter decompositions of hyperbolic polygons
  • The analytic order of Ш for modular elliptic curves
  • Commensurability classes of hyperbolic Coxeter groups.
  • The size of hyperbolic Coxeter simplex
  • Reflection subgroups of reflection groups.
  • Regular subalgebras of affine Kac–Moody algebras
  • Maximum-rank root subsystems of hyperbolic root systems
  • Reflection subgroups of Coxeter groups
  • DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS
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