abstract We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain condition. The Noether charge generating the symmetry transformation is obtained, and it imposes a constraint on the physical states.

Abstract Let $${\mathbb {K}}={\mathbb {R}},\,{\mathbb {C}}$$ K = R , C , the field of reals or complex numbers and {H}}$$ H skew {R}}$$ -algebra quaternions. We study homotopy nilpotency ...

Article history: Received 13 May 2010 Accepted 1 June 2010 Available online 4 July 2010 Submitted by R.A. Brualdi AMS classification: 15A15 15A18

Abstract The Bogomolov multiplier of a group is the unramified Brauer associated with quotient variety faithful representation group. This object an obstruction for to be stably rational. purpose this paper study these multipliers nilpotent pro-$p$ groups by transporting them their Lie algebras. Special focus set on case $p$-adic nilpotency class $2$, where we analyse moduli space. then applied...