Is the adjoint representation of \$\mathfrak{su}(4)\$ reducible? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-22T01:05:31Z http://mathoverflow.net/feeds/question/83231 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/83231/is-the-adjoint-representation-of-mathfraksu4-reducible Is the adjoint representation of \$\mathfrak{su}(4)\$ reducible? braids 2011-12-12T09:15:15Z 2011-12-12T09:15:15Z <p>Is the adjoint representation of \$\mathfrak{su}(4)\$ reducible? I think so but not sure. As we know, \$\mathfrak{so}(5)\subset\mathfrak{su}(4)\$, which seems meaning \$15 = 5 + 10\$.</p> <p>Thanks!</p>