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In these expository notes we present an elementary construction of Lusztig’s canonical basis in type ADE. The method, which is essentially Lusztig’s original approach, is to use the braid group to reduce to rank two calculations. Some of the wonderful properties of the canonical basis are already readily visible; that it descends to a basis for every highest weight integrable representation, an...
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ژورنال
عنوان ژورنال: Nihon Gakkan
سال: 2016
ISSN: 1727-7183
DOI: 10.32319/gakkan/2016/vol19/hsu