Triangulability criteria for additive group actions on affine space
نویسندگان
چکیده
منابع مشابه
Group actions on affine cones
We address the following question: Determine the affine cones over smooth projective varieties which admit an action of a connected algebraic group different from the standard C∗-action by scalar matrices and its inverse action. We show in particular that the affine cones over anticanonically embedded smooth del Pezzo surfaces of degree ≥ 4 possess such an action. A question in [FZ1] whether th...
متن کاملRational Group Actions on Affine Pi-algebras
Let R be an affine PI-algebra over an algebraically closed field k and let G be an affine algebraic k-group that acts rationally by algebra automorphisms on R. For R prime and G a torus, we show that R has only finitely many G-prime ideals if and only if the action of G on the center of R is multiplicity free. This extends a standard result on affine algebraic G-varieties. Under suitable hypoth...
متن کاملAffine and degenerate affine BMW algebras: Actions on tensor space
The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic quantum groups and Lie algebras, respectively. Cyclotomic BMW algebras, affine and cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper we explain how the affine and degenerate affine BMW algebras are tantalizer...
متن کاملLinear Models for Reductive Group Actions on Affine Quadrics
RÉSUMÉ. — Nous étudions les actions des groupes réductifs sur les quadriques affines complexes dont le quotient est de dimension 1. Une telle action est dite linéarisable si elle est équivalente à la restriction d’une action linéaire orthogonale dans l’espace affine ambiant de la quadrique. Une action linéaire satisfait à certaines conditions topologiques. Nous recherchons si ces conditions son...
متن کاملAffine Lines on Q-homology Planes and Group Actions
This note is a supplement to the papers [KiKo] and [GMMR]. We show the role of group actions in classification of affine lines on Q-homology planes.
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: Journal of Pure and Applied Algebra
سال: 1995
ISSN: 0022-4049
DOI: 10.1016/0022-4049(96)87756-5