Canonical bases in tensor products.
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- Record sourced from PubMed, PMID 11607324.
- Also identified by PMC identifier 49880.
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Abstract
I construct a canonical basis in the tensor product of a simple integrable highest weight module with a simple integrable lowest weight module of a quantized enveloping algebra. This basis is simultaneously compatible with many submodules of the tensor product. As an application, I obtain a construction of a canonical basis of (a modified form of) the quantized enveloping algebra.