Covariant Functional Calculi from the Affine Groups
نویسندگان
چکیده
منابع مشابه
Spin Geometry on Quantum Groups via Covariant Differential Calculi
Let A be a cosemisimple Hopf ∗-algebra with antipode S and let Γ be a left-covariant first order differential ∗-calculus over A such that Γ is selfdual (see Section 2) and invariant under the Hopf algebra automorphism S2. A quantum Clifford algebra Cl(Γ, σ, g) is introduced which acts on Woronowicz’ external algebra Γ∧. A minimal left ideal of Cl(Γ, σ, g) which is an A-bimodule is called a spin...
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Non-Commutative differential calculi on quantum groups were first studied by S. L. Woronowicz [W1], [W2]. His seminal paper [W2] provides a general framework for such calculi. Following the general ideas of A. Connes the basic objects in this approach are differential forms rather than vector fields. It seems that there is no functorial way to construct differential calculi for general quantum ...
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The central objects of study in this thesis are affine difference algebraic groups. Similar to the case of affine algebraic groups, these groups can all be realized as subgroups of some general linear group defined by algebraic difference equations. However, the defining equations here are not simply polynomials in the matrix entries but difference polynomials, i.e., the defining equations invo...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2009
ISSN: 1370-1444
DOI: 10.36045/bbms/1251832371