AI Article Synopsis
- I develop a canonical basis for the tensor product of two types of modules from a quantized enveloping algebra: one with a simple highest weight and the other with a simple lowest weight.
- This canonical basis is designed to work well with various submodules of the tensor product, enhancing its utility in the structure of the algebra.
- As a result of this work, I also provide a method to construct a canonical basis for a modified version of the quantized enveloping algebra itself.
Article 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.
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Source |
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC49880 | PMC |
| http://dx.doi.org/10.1073/pnas.89.17.8177 | DOI Listing |
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