Semiinfinite symmetric powers
量子代数
2016-09-07 v1
摘要
We develop a theory of measures, differential forms and Fourier tramsforms on some infinite-dimensional real vector spaces by generalizing the following two constructions: (a) The construction of the semiinfinite wedge power of a Tate vector space V. Recall that it is obtained as a certain double inductive limit of the exterior algebras of finite-dimensional subquotients of V. (b) The construction of the space of measures on a nonarchimedean local field K with maximal ideal M as a double projective limit of the spaces of measures (=functions) on finite subquotients M^i/M^j of K.
引用
@article{arxiv.math/0107089,
title = {Semiinfinite symmetric powers},
author = {M. Kapranov},
journal= {arXiv preprint arXiv:math/0107089},
year = {2016}
}
备注
23 pages, AMSTex