[图书][B] Compact quantum groups and their representation categories

S Neshveyev, L Tuset - 2013 - Citeseer
Coassociativity of∆ follows from associativity of the product in G. To see that the cancellation
property holds, note that (A⊗ 1)∆(A) is the unital∗-subalgebra of C (G× G) spanned by all …

Quantum automorphism groups of homogeneous graphs

T Banica - Journal of Functional Analysis, 2005 - Elsevier
Associated to a finite graph X is its quantum automorphism group G. The main problem is to
compute the Poincaré series of G, meaning the series f (z)= 1+ c1z+ c2z2+⋯ whose …

Symmetries of a generic coaction

T Banica - Mathematische Annalen, 1999 - Springer
If B is \bfC^*-algebra of dimension 4≦n<∞ then the finite dimensional irreducible
representations of the compact quantum automorphism group of B, say G_aut(B), have the …

Unitary easy quantum groups: the free case and the group case

P Tarrago, M Weber - International Mathematics Research …, 2017 - academic.oup.com
Easy quantum groups form a class of compact matrix quantum groups which are completely
determined by set partitions. They have been defined in 2009 by Banica and Speicher in the …

Amenability and co-amenability for locally compact quantum groups

E Bédos, L Tuset - International Journal of Mathematics, 2003 - World Scientific
We define concepts of amenability and co-amenability for locally compact quantum groups
in the sense of J. Kustermans and S. Vaes. Co-amenability of a lcqg (locally compact …

Co-amenability of compact quantum groups

E Bédos, GJ Murphy, L Tuset - Journal of Geometry and Physics, 2001 - Elsevier
We study the concept of co-amenability for a compact quantum group. Several conditions
are derived that are shown to be equivalent to it. Some consequences of co-amenability that …

The hyperoctahedral quantum group

T Banica, J Bichon, B Collins - arXiv preprint math/0701859, 2007 - arxiv.org
We consider the hypercube in $\mathbb R^ n $, and show that its quantum symmetry group
is a $ q $-deformation of $ O_n $ at $ q=-1$. Then we consider the graph formed by $ n …

proton halo via reaction and breakup cross section measurements

F Negoita, C Borcea, F Carstoiu, M Lewitowicz… - Physical Review C, 1996 - APS
The reaction cross section for B 8 and Be 7 and the breakup cross section for B 8 on silicon
have been measured for incident energies between 10 and 40 MeV/nucleon with a stack of …

Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property

S Popa - Documenta Mathematica, 1999 - content.ems.press
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Representation Theory for Subfactors, -Lattices and C*-Tensor Categories

S Popa, S Vaes - Communications in Mathematical Physics, 2015 - Springer
We develop a representation theory for λ λ-lattices, arising as standard invariants of
subfactors, and for rigid C*-tensor categories, including a definition of their universal C …