Higher polyhedral \(K\)-groups

DOI10.1016/S0022-4049(03)00037-9zbMath1028.19001arXivmath/0108013OpenAlexW2079616060MaRDI QIDQ1410963

Joseph Gubeladze, Winfried Bruns

Publication date: 15 October 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108013

zbMATH Keywords

Quillen's plus constructionhigher polyhedral \(K\)-groupspolytopal algebrasVolodin's theory

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Linear algebraic groups over arbitrary fields (20G15) Miscellaneous applications of (K)-theory (19M05) (Q)- and plus-constructions (19D06) Linear algebraic groups over adèles and other rings and schemes (20G35) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Bruns-Gubeladze \(K\)-groups for quadrangular pyramid ⋮ Bruns-Gubeladze \(K\)-theory defined by some three-dimensional polytopes ⋮ \(\Delta\)-graphs of polytopes in Bruns and Gubeladze \(K\)-theory ⋮ Commutator automorphisms of formal power series rings ⋮ Polytopal Linear Groups and Balanced 3-Polytopes

Cites Work

• Polytopal linear groups
• Polytopal linear algebra
• Polyhedral \(K_{2}\)
• On the cohomology and K-theory of the general linear groups over a finite field
• Polytopal linear retractions
• On the equivalence of k-theories
• Normality and covering properties of affine semigroups
• Lectures on Polytopes
• K 3 of a Ring is H 3 of the Steinberg Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item