With applications in quantum field theory, general relativity and
elementary particle physics, this three-volume work studies the
invariance of differential operators under Lie algebras, quantum
groups and superalgebras. This second volume covers quantum groups
in their two main manifestations: quantum algebras and matrix
quantum groups. The exposition covers both the general aspects of
these and a great variety of concrete explicitly presented
examples. The invariant q-difference operators are introduced
mainly using representations of quantum algebras on their dual
matrix quantum groups as carrier spaces. This is the first book
that covers the title matter applied to quantum groups. Contents
Quantum Groups and Quantum Algebras Highest-Weight Modules over
Quantum Algebras Positive-Energy Representations of Noncompact
Quantum Algebras Duality for Quantum Groups Invariant q-Difference
Operators Invariant q-Difference Operators Related to GLq(n)
q-Maxwell Equations Hierarchies
General
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