On classification of \(\sigma_q\)-conjugacy classes of a loop group

DOI10.1016/J.JALGEBRA.2016.03.026zbMath1339.22010OpenAlexW2343752752MaRDI QIDQ288487

Peipei Zhou, Sian Nie

Publication date: 26 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.03.026

zbMATH Keywords

loop groupconjugacy classunipotent class

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67)

Cites Work

• Galois theory of \(q\)-difference equations
• Fixed points of quasi-semi-simple automorphisms
• Fundamental elements of an affine Weyl group
• Geometric and homological properties of affine Deligne-Lusztig varieties
• Truncations of level 1 of elements in the loop group of a reductive group.
• $q$-Conjugacy classes in loop groups
• Minimal length elements of extended affine Weyl groups
• Conjugacy classes in loop groups and G-bundles on elliptic curves
• Endomorphisms of linear algebraic groups

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