利用二元复形对高阶$K$ -群的外幂运算
Exterior power operations on higher $K$-groups via binary complexes
摘要：
我们使用Grayson的代数$K$ -理论的二元多复表示给出了一个新的构造外幂运算的更高的$K$ -群的（准紧）计划。我们表明，这些操作满足公理的$λ$ -环，包括产品和复合法律。为了证明复合律，我们证明了整多项式函子精确范畴的Grothendieck群是一个生成元上的泛$λ$ -环。
英文摘要：
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 $λ$-ring, including the product and composition laws. To prove the composition law we show that the Grothendieck group of the exact category of integral polynomial functors is the universal $λ$-ring on one generator.
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