Embeddings of root systems. I: Root systems over commutative rings.

DOI10.1016/j.jalgebra.2008.10.008zbMath1181.20036OpenAlexW2032790067MaRDI QIDQ834830

Matthew J. Dyer

Publication date: 27 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.10.008

zbMATH Keywords

Coxeter groupsVerlinde algebrasroot systemsfusion rings

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items (6)

Parabolic subgroup orbits on finite root systems ⋮ On reflection representations of Coxeter groups over non-commutative rings ⋮ Oriented matroid structures from realized root systems ⋮ Embeddings of root systems. II: Permutation root systems. ⋮ Subregular \(J\)-rings of Coxeter systems via quiver path algebras ⋮ Twisted quadratic foldings of root systems

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• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Wavefronts and reflection groups
• Locally split and locally finite twin buildings of 2-spherical type
• Linear algebraic groups.
• Introduction to quantum groups

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