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arXiv · 1907.06805

Involutions on Incidence Algebras of Finite Posets

Ivan Gargate·Michael Gargate
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Abstract

We give various formulas to compute the number of all involutions, i.e. elements of order 2, in an incidence algebra $I(X,\mathbb{K})$, where $X$ is a finite poset (star, Y and Rhombuses) and $\mathbb{K}$ is a finite field of characteristic different from 2. Using the techniques describing here we show an algorithm to calculate the number of involutions on any finite poset.

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Ivan Gargate, Michael Gargate. 2019-07-16. Involutions on Incidence Algebras of Finite Posets. https://arxiv.org/abs/1907.06805

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