RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mosc. Math. J.: Year: Volume: Issue: Page: Find

 Mosc. Math. J., 2018, Volume 18, Number 2, Pages 321–347 (Mi mmj674)

Exotic matrix models: the albert Algebra and the spin factor

Paul E. Gunnells

Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-9305

Abstract: The matrix models attached to real symmetric matrices and the complex/quaternionic Hermitian matrices have been studied by many authors. These models correspond to three of the simple formally real Jordan algebras over $\mathbb R$. Such algebras were classified by Jordan, von Neumann, and Wigner in the 30s, and apart from these three there are two others: (i) the spin factor $\mathbb S=\mathbb S_{1,n}$, an algebra built on $\mathbb R^{n+1}$, and (ii) the Albert algebra $\mathbb A$ of $3\times3$ Hermitian matrices over the octonions $\mathbb O$. In this paper we investigate the matrix models attached to these remaining cases.

Key words and phrases: matrix models, octonions, Albert algebra, spin factor.

Full text: http://www.mathjournals.org/.../2018-018-002-005.html
References: PDF file   HTML file

Document Type: Article
MSC: 81T18, 16W10
Language: English

Citation: Paul E. Gunnells, “Exotic matrix models: the albert Algebra and the spin factor”, Mosc. Math. J., 18:2 (2018), 321–347

Citation in format AMSBIB
\Bibitem{Gun18} \by Paul~E.~Gunnells \paper Exotic matrix models: the albert Algebra and the spin factor \jour Mosc. Math.~J. \yr 2018 \vol 18 \issue 2 \pages 321--347 \mathnet{http://mi.mathnet.ru/mmj674}