科研之友
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摘要
A symmetric bilinear form on a certain subspace (T) over cap (b) of a completion of the Fock space T-b is defined. The canonical and dual canonical bases of (T) over cap (b) are dual with respect to the bilinear form. As a consequence, the inversion formula connecting the coefficients of the canonical basis and that of the dual canonical basis of (T) over cap (b) expanded in terms of the standard monomial basis of T-b is obtained. Combining with the Brundan's algorithm for computing the elements in the canonical basis of (T) over cap (bst), we have an algorithm computing the elements in the canonical basis of (T) over cap (b) for arbitrary b.
- 出版日期2016-10
- 单位中山大学
