Abstract
Noncommutative associative algebras are constructed which have the structure of module algebras over tensor products of pairs of quantized universal enveloping algebras. These module algebras decompose into multiplicity free direct sums of irreducible modules, yielding quantum analogues of generalized Howe dualities.
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Lai, K.F., Zhang, R.B. Multiplicity Free Actions of Quantum Groups and Generalized Howe Duality. Letters in Mathematical Physics 64, 255–272 (2003). https://doi.org/10.1023/A:1025776405712
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DOI: https://doi.org/10.1023/A:1025776405712