Séminaire Lotharingien de Combinatoire, B46f (2001), 13 pp.

Igor Pak

Hook Length Formula and Geometric Combinatorics

Abstract. We present here a transparent proof of the hook length formula. The formula is reduced to an equality between the number of integer point in certain polytopes. The latter is established by an explicit continuous volume-preserving piecewise linear map.

Received: July 27, 2001; Accepted: August 14, 2001.

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