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Abstract
The modified quantized enveloping algebra has a remarkable canonical basis, which was introduced by Lusztig. In this paper, all these monomial elements of the canonical basis of
for type A
2 are determined.
ACKNOWLEDGMENTS
The author would like to thank Professor G. Lusztig both for posing this problem that led to this paper, and for valuable guide during his stay in Beijing. The author would also like to thank Professor M. Kashiwara and Nanhua Xi for very helpful comments.
Notes
Communicated by K. Misra.