Hall's identity

From HandWiki
Revision as of 16:30, 4 August 2021 by imported>PolicyIA (attribution)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In mathematics, Hall's identity may be:

  • The Hall–Witt identity [math]\displaystyle{ [x, y^{-1}, z]^y\cdot[y, z^{-1}, x]^z\cdot[z, x^{-1}, y]^x = 1 }[/math]
  • The Hall identity [ [x,y]2,z] = 0 for 2 by 2 matrices, showing that this is a polynomial identity ring
  • The Hall–Petresco identity for groups expressing xmym in terms of powers of elements of the descending central series.

__DISAMBIG__