Fusion (semi)rings arising from quantum groups
نویسندگان
چکیده
منابع مشابه
C * -algebraic Quantum Groups Arising from Algebraic Quantum Groups
We associate to an algebraic quantum group a C *-algebraic quantum group and show that this C *-algebraic quantum group essentially satisfies an upcoming definition of Masuda, Nakagami & Woronowicz.
متن کامل1 99 7 Universal C ∗ - algebraic quantum groups arising from algebraic quantum groups
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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We investigate multiple qubit Pauli groups and the quantum states/rays arising from their maximal bases. Remarkably, the real rays are carried by a Barnes-Wall lattice BWn (n = 2m). We focus on the smallest subsets of rays allowing a state proof of the BellKochen-Specker theorem (BKS). BKS theorem rules out realistic non-contextual theories by resorting to impossible assignments of rays among a...
متن کاملLogarithmic Knot Invariants Arising from Restricted Quantum Groups
We construct knot invariants from the radical part of projective modules of the restricted quantum group Uq(sl2) at q = exp(π √ −1/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.
متن کاملFusion Rings Arising from Normal Hopf Subalgebras
For any normal commutative Hopf subalgebra K = k of a semisimple Hopf algebra we describe the ring inside kG obtained by the restriction of H-modules. If G = Zp this ring determines a fusion ring and we give a complete description for it. The case G = Zpn and some other applications are presented.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.06.029