Exterior power operations on higher K-theory

DOI10.1007/BF00533371zbMath0701.18007OpenAlexW2070680527MaRDI QIDQ913939

Daniel R. Grayson

Publication date: 1989

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533371

zbMATH Keywords

exterior powersalgebraic K-theorycategories of vector bundles on schemesK-theory of exact categorieslambda operations

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Higher algebraic (K)-theory (19D99)

Related Items

Unnamed Item ⋮ Segal operations in the algebraic \(K\)-theory of topological spaces ⋮ The local $h$-polynomial of the edgewise subdivision of the simplex ⋮ Derangements, Ehrhart theory, and local \(h\)-polynomials ⋮ Combinatorics and Algebra of Geometric Subdivision Operations ⋮ Unstable operations on \(K\)-theory for singular schemes ⋮ \(G \)-theory of \(\mathbb F_1\)-algebras I: the equivariant Nishida problem ⋮ On uniqueness of characteristic classes ⋮ Two formulae for exterior power operations on higher \(K\)-groups ⋮ Adams operations on higher \(K\)-theory ⋮ Subdivisions of toric complexes ⋮ The Grothendieck-Riemann-Roch theorem for group scheme actions ⋮ Tangents to Chow groups: on a question of Green-Griffiths ⋮ The edgewise subdivision criterion for 2-Segal objects ⋮ Subdivisions of shellable complexes ⋮ The Veronese construction for formal power series and graded algebras ⋮ Orbifold products for higher \(K\)-theory and motivic cohomology ⋮ Operations in \(A\)-theory ⋮ Shuffle products in higher \(K\)-theory ⋮ Exterior power operations on higher \(K\)-groups via binary complexes

Cites Work

• The loop space of the Q-construction
• \(\lambda\)-structure en K-théorie algébrique
• lambda-rings and algebraic K-theory
• Algebraic K-theory of generalized free products. I
• La théorie des classes de Chern