1,720,976 research outputs found
Haar measure on E<SUB>q</SUB>(2)
No full textThe quantum E(2) group is one of the simplest known examples so far of a locally compact noncompact quantum group. The existence and uniqueness of an 'invariant measure' on this group has been proved in this article. Using the invariant measure, we compute certain orthogonality relations, which then tells us that any unitary representation can have both square-integrable and non square-integrable matrix entries
Regularity of operators on essential extensions of the compacts
Get PDFA semiregular operator on a Hilbert C∗-module, or equivalently, on the C∗-algebra of 'compact' operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian C∗-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed
Regularity of operators on essential extensions of the compacts
No full textA semiregular operator on a Hilbert C∗-module, or equivalently, on the C∗-algebra of 'compact' operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian C∗-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed
A counter example on idempotent states on compact quantum groups
No full textA simple example is given to illustrate that an idempotent state may not be the haar state of any subgroup in the case of compact quantum groups
A counter example on idempotent states on compact quantum groups
Get PDFA simple example is given to illustrate that an idempotent state may not be the haar state of any subgroup in the case of compact quantum groups
Induced representation and Frobenius reciprocity for compact quantum groups
No full textUnitary representations of compact quantum groups have been described as isometric comodules. The notion of an induced representation for compact quantum groups has been introduced and an analogue of the Frobenius reciprocity theorem is established
Haar measure on E<SUB>q</SUB>(2)
No full textThe quantum E(2) group is one of the simplest known examples so far of a locally compact noncompact quantum group. The existence and uniqueness of an 'invariant measure' on this group has been proved in this article. Using the invariant measure, we compute certain orthogonality relations, which then tells us that any unitary representation can have both square-integrable and non square-integrable matrix entries
Induced representation and Frobenius reciprocity for compact quantum groups
No full textUnitary representations of compact quantum groups have been described as isometric comodules. The notion of an induced representation for compact quantum groups has been introduced and an analogue of the Frobenius reciprocity theorem is established
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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