Ukrainian Mathematical Bulletin

Volume 3, Issue 2, 2006 pp. 145-156.

On Connection between Drozd and Brenner Quadratic Forms (the Case of Unbounded Posets)

Authors: Vitalii M. Bondarenko
Author institution: Institute of Mathematics, NAS of Ukraine, ul. Tereshchenkovskaya 3, 01601, Kiev 4, Ukraine vit-bond@imath.kiev.ua

Summary: We consider two quadratic forms defined on partially ordered sets; one of them was introduced by Yu.A.Drozd, and the other one by Sh.Brenner. These forms play an important role in the modern representation theory. We find a relationship between them in the case of infinite unbounded partially ordered sets.

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