Ilan Levin

activity

20232026

most citedAlternating Roots of Polynomials over Cayley-Dickson Algebras

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.CO2024★ 1 cited

Loops with involution and the Cayley-Dickson doubling process

Adam Chapman, Ilan Levin, Uzi Vishne +1

We develop a theory of loops with involution. On this basis we define a Cayley-Dickson doubling on loops, and use it to investigate the lattice of varieties of loops with involutio…

math.KT2024

Invariant for Sets of Pfister Forms

Adam Chapman, Ilan Levin

We associate an $(n_{1} + \dots + n_{t} - k (t - 1))$ -fold Pfister form to any $t$ -tuple of $k$ -linked Pfister forms of dimensions $2^{n_{1}}, \dots, 2^{n_{t}}$ , and prove its invariance under the di…