1999/07/13 by Michael K. Kinyon, Arthur A. Sagle
Mathematics · #math.RA #msc:17D99 #msc:17B99
published as J. Algebra 247 (2002), no. 2, 269--294. · 23 pages, LaTeX2e, uses tcilatex.sty; submitted to J. Algebra
arxiv created 1999/07/13 · arxiv updated 2009/11/30
Given a Lie algebra \frakg, the Nahm algebra of \frakg is the vector space \frakg× \frakg× \frakg with the natural commutative, nonassociative algebra structure associated with the Nahm equations x = [y,z], y = [z,x], z = [x,y]. Motivated by potential application to the study of these equations, we herein initiate the study of Nahm algebras.