FERMIONIC Q-FOCK SPACE AND BRAIDED GEOMETRY

We write the fermionic q-Fock space representation of U-q(s (l) over c ap(n)) as an infinite extended braided tensor product of finite-dimens ional fermionic U-q(sl(n))-quantum planes or exterior algebras. Using braided geometrical techniques developed for such quantum exterior alg ebras, we provide a new R-matrix approach to the Kashiwara-Miwa-Stern action of the Heisenberg algebra on the q-fermionic Fock space, obtain ing the action in detail for the lowest nontrivial case [b(2), b(-2)] = 2((1 - q(-4n))/(1 - q(-4))). (C) 1997 American Institute of Physics.