By Vladimir K. Dobrev
With purposes in quantum box thought, common relativity and uncomplicated particle physics, this three-volume paintings reports the invariance of differential operators below Lie algebras, quantum teams and superalgebras. This moment quantity covers quantum teams of their major manifestations: quantum algebras and matrix quantum teams. The exposition covers either the final facets of those and a very good number of concrete explicitly offered examples. The invariant q-difference operators are brought quite often utilizing representations of quantum algebras on their twin matrix quantum teams as provider areas. this is often the 1st ebook that covers the identify subject utilized to quantum teams.
Quantum teams 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 with regards to GLq(n)
q-Maxwell Equations Hierarchies
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Quantum Groups: Volume 2 (De Gruyter Studies in Mathematical Physics) by Vladimir K. Dobrev