论文标题

关于Erdős-Ko-Rado的代数团体的观点

An algebraic groups perspective on Erdős-Ko-Rado

论文作者

Woodroofe, Russ

论文摘要

我们使用代数组理论的Borel固定点定理提供了ERDőS-KO-RADO定理的证明。 This perspective gives a strong analogy between the Erdős-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices.

We give a proof of the Erdős-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erdős-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices.

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