Spinors in braided geometry
Đurđević, Mićo ; Oziewicz, Zbigniew
Banach Center Publications, Tome 37 (1996), p. 315-325 / Harvested from The Polish Digital Mathematics Library
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Let V be a ℂ-space, σ∈End(V⊗2) be a pre-braid operator and let F∈lin(V⊗2,ℂ). This paper offers a sufficient condition on (σ,F) that there exists a Clifford algebra Cl(V,σ,F) as the Chevalley F-dependent deformation of an exterior algebra Cl(V,σ,0)≡V∧(σ). If σ≠σ-1 and F is non-degenerate then F is not a σ-morphism in σ-braided monoidal category. A spinor representation as a left Cl(V,σ,F)-module is identified with an exterior algebra over F-isotropic ℂ-subspace of V. We give a sufficient condition on braid σ that the spinor representation is faithful and irreducible.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:208608 
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     title = {Spinors in braided geometry},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {315-325},
     zbl = {0873.15020},
     language = {en},
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Đurđević, Mićo; Oziewicz, Zbigniew. Spinors in braided geometry. Banach Center Publications, Tome 37 (1996) pp. 315-325. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p315bwm/

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