A presentation for reduced extended affine weyl groups
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Publication:4942371
DOI10.1080/00927870008841084zbMath0952.20028OpenAlexW2038961069MaRDI QIDQ4942371
Publication date: 17 October 2000
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870008841084
Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (12)
Unnamed Item ⋮ Nonreduced extended affine Weyl groups. ⋮ Reflectable bases for affine reflection systems ⋮ On the presentations of extended affine Weyl groups. ⋮ On the relation of extended affine Weyl groups and indefinite Weyl groups. ⋮ Simply laced extended affine Weyl groups (a finite presentation). ⋮ The Abelianizations of Weyl groups of root systems extended by Abelian groups ⋮ A graph-theoretical classification for reflectable bases ⋮ Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups. ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups. ⋮ Groups of extended affine Lie type
Cites Work
- Extended affine root systems. II: Flat invariants
- Extended affine root systems. I: Coxeter transformations
- Extended affine root systems. III: Elliptic Weyl groups
- Classification and construction of quasisimple Lie algebras
- Quantum tori and the structure of elliptic quasi-simple Lie algebras
- Lectures on Chevalley Groups
- Nonreduced extended affine root systems of nullity 3
- The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
- The root system and the core of an extended affine Lie algebra.
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