# Exterior power operations on higher $K$-groups via binary complexes

18 Oct 2016 Harris Tom Köck Bernhard Taelman Lenny

We use Grayson's binary multicomplex presentation of algebraic $K$-theory to give a new construction of exterior power operations on the higher $K$-groups of a (quasi-compact) scheme. We show that these operations satisfy the axioms of a $\lambda$-ring, including the product and composition laws... (read more)

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# Categories

• K-THEORY AND HOMOLOGY
• ALGEBRAIC GEOMETRY
• REPRESENTATION THEORY