Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated \(K_1\)-groups and \(K_2\)-groups

DOI10.21099/tkbjm/20214501013OpenAlexW3209702906MaRDI QIDQ824127

Ryusuke Sugawara

Publication date: 14 December 2021

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06253

zbMATH Keywords

Tits systemsuniversal central extensions\(K_1\)-groups\(K_2\)-groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie (super)algebras (17B65) Symbols, presentations and stability of (K_2) (19C20) (K_1) of group rings and orders (19B28) Structure theory for linear algebraic groups (20G07)

Cites Work

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• Tits' systems in Chevalley groups over Laurent polynomial rings
• \(K_2\) of a Euclidean ring
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• Groups defined by extended affine Lie algebras with nullity 2
• Group presentation of the Schur-multiplier derived from a loop group
• Extended affine Lie algebras and their root systems
• Introduction to Algebraic K-Theory. (AM-72)

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