Spinors in braided geometry

Mićo Đurđević; Zbigniew Oziewicz

Displaying similar documents to “Spinors in braided geometry”

Local quasitriangular Hopf algebras.

Zhang, Shouchuan, Gould, Mark D., Zhang, Yao-Zhong (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Examples of liftings of Nichols algebras over racks.

Andruskiewitsch, Nicolás, Graña, Matías (2003)

AMA. Algebra Montpellier Announcements [electronic only]

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Weak c*-Hopf algebras: the coassociative symmetry of non-integral dimensions

Gabriella Böhm, Kornél Szlachányi (1997)

Banach Center Publications

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By allowing the coproduct to be non-unital and weakening the counit and antipode axioms of a C*-Hopf algebra too, we obtain a selfdual set of axioms describing a coassociative quantum group, that we call a weak C*-Hopf algebra, which is sufficiently general to describe the symmetries of essentially arbitrary fusion rules. It is the same structure that can be obtained by replacing the multiplicative unitary of Baaj and Skandalis with a partial isometry. The algebraic properties, the existence...

From left modules to algebras over an operad: application to combinatorial Hopf algebras

Muriel Livernet (2010)

Annales mathématiques Blaise Pascal

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The purpose of this paper is two fold: we study the behaviour of the forgetful functor from $𝕊$ -modules to graded vector spaces in the context of algebras over an operad and derive the construction of combinatorial Hopf algebras. As a byproduct we obtain freeness and cofreeness results for those Hopf algebras. Let $𝒪$ denote the forgetful functor from $𝕊$ -modules to graded vector spaces. Left modules over an operad $𝒫$ are treated as $𝒫$ -algebras in the category of $𝕊$ -modules. We generalize...

Left-covariant differential calculi on $S L_{q} (N)$

Konrad Schmüdgen, Axel Schüler (1997)

Banach Center Publications

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We study $N^{2} - 1$ dimensional left-covariant differential calculi on the quantum group $S L_{q} (N)$ . In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus....