Hermitian K-theory of Grassmannians
K-Theory and Homology
2023-09-27 v1 Algebraic Geometry
Category Theory
Representation Theory
Abstract
We compute the additive structure of the Hermitian -theory spectrum of an even-dimensional Grassmannian over a base field of characteristic zero in terms of the Hermitian -theory of , using certain symmetries on Young diagrams. The result is a direct sum of copies of the -theory of the base field and copies of the -theory of the base field, indexed by \emph{asymmetric} and \emph{symmetric} Young diagrams, respectively.
Cite
@article{arxiv.2309.14896,
title = {Hermitian K-theory of Grassmannians},
author = {Herman Rohrbach},
journal= {arXiv preprint arXiv:2309.14896},
year = {2023}
}