An inversion formula for some Fock spaces

Bintao Cao, Ngau Lam

研究成果: Article同行評審

摘要

A symmetric bilinear form on a certain subspace Tb of a completion of the Fock space Tb is defined. The canonical and dual canonical bases of Tb 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 Tb expanded in terms of the standard monomial basis of Tb is obtained. Combining with the Brundan's algorithm for computing the elements in the canonical basis of Tb st, we have an algorithm computing the elements in the canonical basis of Tb for arbitrary b.

原文English
頁(從 - 到)3476-3497
頁數22
期刊Journal of Pure and Applied Algebra
220
發行號10
DOIs
出版狀態Published - 2016 10月 1

All Science Journal Classification (ASJC) codes

  • 代數與數理論

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