Nurtas Shyntas

collaborators

3 papers

math.CO2026

A combinatorial proof of the Chan--Robbins--Yuen volume formula

Nurtas Shyntas

The Chan--Robbins--Yuen polytope $CRY_{m + 1}$ has normalized volume $\prod_{j = 1}^{m - 1} C_{j}$ , a product of Catalan numbers. Zeilberger proved the formula using the Morris con…

math.RA2026

Standard identities for polynomial vector fields

Nurtas Shyntas

Let $W_{n}$ be the Lie algebra of polynomial vector fields in $n$ variables over a field of characteristic zero, and let $s_{k}$ denote the alternating sum of compositions of $k$ vecto…

math.RT2025

The Superization of Hochschild's Lemma and Restricted Lie-Rinehart Superalgebras

Sofiane Bouarroudj, Quentin Ehret, Abdenacer Makhlouf +1

The main goal of this paper is to introduce the notion of restricted Lie-Rinehart superalgebra over a field of characteristic $p > 2$ , motivated by a generalization of Hochschild's l…