FERMIONIC q-FOCK SPACE AND BRAIDED GEOMETRY
نویسنده
چکیده
We write the fermionic q-Fock space representation of Uq(ŝln) 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 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 1−q−4 ). Our R-matrix approach includes other Hecke R-matrices as well.
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