Abstract
We write the fermionic q-Fock space representation of Uq(sln) as an infinite extended braided tensor product of finite-dimensional fermionic Uq(sln)-quantum planes or exterior algebras. Using braided geometrical techniques developed for such quantum exterior algebras, we provide a new R-matrix approach to the Kashiwara–Miwa–Stern action of the Heisenberg algebra on the q-fermionic Fock space, obtaining the action in detail for the lowest nontrivial case [b2, b−2]=2((1−q−4n)/(1−q−4)).
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