AFFINE GEOMETRIC CRYSTALS IN UNIPOTENT LOOP GROUPS

作者:Lam Thomas*; Pylyavskyy Pavlo
来源:Representation Theory - An Electronic Journal of the AMS, 2011, 15: 719-728.

摘要

We study products of the affine geometric crystal of type A corresponding to symmetric powers of the standard representation. The quotient of this product by the R-matrix action is constructed inside the unipotent loop group. This quotient crystal has a semi-infinite limit, where the crystal structure is described in terms of limit ratios previously appearing in the study of total positivity of loop groups.

  • 出版日期2011