Canonical Bases and Standard Monomials
نویسنده
چکیده
Let U be the quantized enveloping algebra associated to a simple Lie algebra g by Drinfel’d and Jimbo. Let λ be a classical fundamental weight for g, and V (λ) the irreducible, finite-dimensional type 1 highest weight U -module with highest weight λ. We show that the canonical basis for V (λ) (see Kashiwara [6, §0] and Lusztig [18, 14.4.12]) and the standard monomial basis (see [11, §§2.4 & 2.5]) for V (λ) coincide. 1991 Mathematics Subject Classification: 17B37.
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