REVIEW 1 cited by
Dual canonical bases and embeddings of symmetric spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
For a connected reductive group $G_k$ over an algebraically closed field $k$ of char $\neq 2$ and a fixed point subgroup $K_k$ under an algebraic group involution, we construct a quantization and an integral model of any affine embeddings of the symmetric space $G_k/K_k$. We show that the coordinate ring of any affine embedding of $G_k/K_k$ admits a dual canonical basis. We further construct an integral model for the canonical embedding (that is, an embedding which is complete, simple, and toroidal) of $G_k/K_k$. When $G_k$ is of adjoint type, we obtain an integral model for the wonderful compactification of the symmetric space.
Forward citations
Cited by 1 Pith paper
-
Toroidal embedding of Chevalley groups over $\mathbb{Z}$
For every fan supported in the negative Weyl chamber, universal equivariant toroidal embeddings of split reductive group schemes over Z exist and specialize to the classical embeddings over every algebraically closed field.
Discussion (0). Continue with ORCID to comment.