### Some articles on *groups, group, quantum group, quantum groups, quantum*:

Gerard Murphy (mathematician) - Papers

... Ordered

... Ordered

**groups**and crossed products of C*-algebras, Pacific J ... The index**group**, the exponential spectrum and some spectral containment theorems, Proc ... Translation-invariant function algebras on compact abelian**groups**, Ann ...Locally Compact Quantum Group

... The locally compact (l.c.)

... The locally compact (l.c.)

**quantum group**is a relatively new C*-algebraic formalism for**quantum groups**, generalizing the Kac algebra, compact**quantum group**and Hopf algebra approaches ... Earlier attempts of a unifying definition of**quantum groups**using e.g ...**quantum groups**allow for a dual construction, generalizing the Pontryagin duality of abelian**groups**...Quantum Group

... In mathematics and theoretical physics, the term

... In mathematics and theoretical physics, the term

**quantum group**denotes various kinds of noncommutative algebra with additional structure ... In general, a**quantum group**is some kind of Hopf algebra ... The term "**quantum group**" often denotes a kind of noncommutative algebra with additional structure that first appeared in the theory of**quantum**integrable systems, and which was ...Representation Theory - Branches and Topics - Associative Algebras - Hopf Algebras and

... retaining the representation theory of

**Quantum Groups**... retaining the representation theory of

**groups**and Lie algebras as special cases ... The Hopf algebras associated to**groups**have a commutative algebra structure, and so general Hopf algebras are known as**quantum groups**, although this term is often ... The representation theory of**quantum groups**has added surprising insights to the representation theory of Lie**groups**and Lie algebras, for instance ...Timeline Of Category Theory And Related Mathematics - 1981–1990

... of tangles 1986 Vladimir Drinfeld–Michio Jimbo

... of tangles 1986 Vladimir Drinfeld–Michio Jimbo

**Quantum groups**In other words quasitriangular Hopf algebras ... The point is that the categories of representations of**quantum groups**are tensor categories with extra structure ... They are used in construction of**quantum**invariants of knots and links and low dimensional manifolds, representation theory, q-deformation theory, CFT, integrable systems ...### Famous quotes containing the words groups and/or quantum:

“Trees appeared in *groups* and singly, revolving coolly and blandly, displaying the latest fashions. The blue dampness of a ravine. A memory of love, disguised as a meadow. Wispy clouds—the greyhounds of heaven.”

—Vladimir Nabokov (1899–1977)

“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, *quantum* theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”

—Antonin Artaud (1896–1948)

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