Eric Forgy graded commutator

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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