CHARACTERIZATION OF n-DIMENSIONAL NORMAL AFFINE SLn-VARIETIES
نویسندگان
چکیده
Abstract We show that any normal irreducible affine n -dimensional SL -variety X is determined by its automorphism group seen as an ind-group in the category of varieties. In other words, if Y algebraic variety such Aut( ) ≃ ind-group, then a variety. If we drop condition normality on , this statement fails. case ≥ 3, result above holds true replace
منابع مشابه
SLn-CHARACTER VARIETIES AS SPACES OF GRAPHS
An SLn-character of a groupG is the trace of an SLn-representation of G.We show that all algebraic relations between SLn-characters of G can be visualized as relations between graphs (resembling Feynman diagrams) in any topological space X, with π1(X) = G. We also show that all such relations are implied by a single local relation between graphs. In this way, we provide a topological approach t...
متن کاملDimensions of Affine Deligne-Lusztig Varieties in Affine Flag Varieties
Affine Deligne-Lusztig varieties are analogs of DeligneLusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper [5] by Haines, Kottwitz, Reuman, and the first named author, about the question which affine DeligneLusztig varieties (for a split group and a basic σ-conjugacy class) in the Iwahori case are non-empty. If the underlying algebraic group is a...
متن کاملQuiver Varieties and Finite Dimensional Representations of Quantum Affine Algebras
Introduction 145 1. Quantum affine algebra 150 2. Quiver variety 155 3. Stratification of M0 163 4. Fixed point subvariety 167 5. Hecke correspondence and induction of quiver varieties 169 6. Equivariant K-theory 174 7. Freeness 178 8. Convolution 185 9. A homomorphism Uq(Lg)→ KGw×C ∗ (Z(w))⊗Z[q,q−1] Q(q) 192 10. Relations (I) 194 11. Relations (II) 202 12. Integral structure 214 13. Standard m...
متن کاملAffine Deligne-lusztig Varieties in Affine Flag Varieties
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of a split group. Among other things, it proves emptiness for certain of these varieties, relates some of them to those for Levi subgroups, extends previous conjectures concerning their dimensions, and generalizes the superset method.
متن کاملStable Reductive Varieties I: Affine Varieties
0. Introduction 1 1. Main definitions and results 3 2. General criteria 6 2.1. Seminormality and connectedness of isotropy groups 6 2.2. Finiteness of number of orbits and group–like condition 9 3. Orbits in stable reductive varieties 11 3.1. Isotropy groups 11 3.2. Algebras of regular functions 14 4. Reductive varieties 18 4.1. Classification 18 4.2. Associated stable toric varieties 20 5. Sta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09701-3