TY - JOUR
T1 - An inversion formula for some Fock spaces
AU - Cao, Bintao
AU - Lam, Ngau
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2016/10/1
Y1 - 2016/10/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.jpaa.2016.04.011
DO - 10.1016/j.jpaa.2016.04.011
M3 - Article
AN - SCOPUS:84964905350
SN - 0022-4049
VL - 220
SP - 3476
EP - 3497
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 10
ER -