منابع مشابه
Universal R–matrices for non-standard (1+1) quantum groups
A universal quasitriangular R–matrix for the non-standard quantum (1+1) Poincaré algebra Uziso(1, 1) is deduced by imposing analyticity in the deformation parameter z. A family gμ of “quantum graded contractions” of the algebra Uziso(1, 1)⊕U−ziso(1, 1) is obtained; this set of quantum algebras contains as Hopf subalgebras with two primitive translations quantum analogues of the two dimensional ...
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Let A be a C *-algebra. Let A ⊗ A be the minimal C *-tensor product of A with itself and let M (A ⊗ A) be the multiplier algebra of A ⊗ A. A comultiplication on A is a non-degenerate *-homomorphism ∆ : A → M (A ⊗ A) satisfying the coassociativity law (∆ ⊗ ι)∆ = (ι ⊗ ∆)∆ where ι is the identity map and where ∆ ⊗ ι and ι ⊗ ∆ are the unique extensions to M (A ⊗ A) of the obvious maps on A ⊗ A. We ...
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This report is based on review paper [1]. Some aspects of differential and integral calculi on generalized grassmann (paragrassmann) algebras are considered. The integration over paragrassmann variables is applied to evaluate the partition function for the Z p+1 Potts model on a chain. Finite dimensional paragrassmann representations for GL q (2) are constructed. Generalizations of grassmann al...
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Universal C *-algebraic quantum groups arising from algebraic quantum groups. Abstract In this paper, we construct a universal C *-algebraic quantum group out of an algebraic one. We show that this universal C *-algebraic quantum has the same rich structure as its reduced companion (see [9]). This universal C *-algebraic quantum group also satisfies an upcoming definition of Masuda, Nakagami & ...
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In this paper we associate to every reduced C∗-algebraic quantum group (A,∆) (as defined in [18]) a universal C∗-algebraic quantum group (Au,∆u). We fine tune a proof of Kirchberg to show that every ∗-representation of a modified L-space is generated by a unitary corepresentation. By taking the universal enveloping C∗-algebra of a dense sub ∗-algebra of A we arrive at the C∗-algebra Au. We show...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2014
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-014-2052-7