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An algebraic groups perspective on Erd\H{o}s-Ko-Rado

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abstract

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

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2025 1

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CONDITIONAL 1

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