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arXiv · 2311.11324

The total number of descents and levels in tensor words and cyclic tensor words

Sela Fried·Toufik Mansour
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Abstract

We obtain an explicit formula for the total number of descents and levels in tensor words and cyclic tensor words of arbitrary dimension. We also establish the exact maximal number of descents in words and use it to obtain an upper bound on the maximal number of descents in tensor words.

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Sela Fried, Toufik Mansour. 2023-11-19. The total number of descents and levels in tensor words and cyclic tensor words. https://arxiv.org/abs/2311.11324

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