Eric Forgy graded commutator

Definition

Given a graded algebra

Ω= r=0 nΩ r,\Omega = \bigoplus_{r=0}^n \Omega^r,

the graded commutator is defined by

[α,β]=αβ(1) |α||β|βα,[\alpha,\beta] = \alpha\beta - (-1)^{|\alpha||\beta|}\beta\alpha,

where |α||\alpha| denotes the degree of α\alpha.

category: maths

Revised on January 5, 2009 at 19:35:17 by Eric Forgy