Questions tagged [lie-superalgebras]

Given any superassociative algebra, a Lie superalgebra with a Lie superbracket $[a,b]=ab- (-1)^{|a||b|} ba$ is constructed and satisfies $[a,b]=-(-1)^{|a||b|}[b,a]$ $[a,[b,c]] = [[a,b],c] + (−1)^{|a||b}[b,[a,c]].$ Let we have a parity reversion…