Quantum Groups

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

Gerard Murphy (mathematician) - Papers
... 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.) 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 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 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 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 ...

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