generalized Cartan matrix

A generalized Cartan matrix is a matrix A whose diagonalMathworldPlanetmath entries are all 2, and whose off-diagonal entries are nonpositive integers, such that aij=0 if and only if aji=0. Such a matrix is called symmetrizable if there is a diagonal matrixMathworldPlanetmath B such that AB is symmetricMathworldPlanetmathPlanetmath.

Title generalized Cartan matrix
Canonical name GeneralizedCartanMatrix
Date of creation 2013-03-22 13:52:56
Last modified on 2013-03-22 13:52:56
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Definition
Classification msc 17B67
Related topic ExtendedCartanMatrix
Defines symmetrizable