Unipotent commutative group actions on flag varieties and nilpotent multiplications

DOI10.1007/s00031-015-9306-0zbMath1393.14047arXiv1309.3480OpenAlexW3106051751WikidataQ114231858 ScholiaQ114231858MaRDI QIDQ2343148

Rostislav Devyatov

Publication date: 4 May 2015

Published in: Transformation Groups, Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3480

zbMATH Keywords

flag varietynilpotent algebrasemisimple groupparabolic subgroupunipotent group actioncommutative unipotent group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Nilpotent and solvable Lie groups (22E25) Compactifications; symmetric and spherical varieties (14M27)

Related Items (11)

Commutative actions on smooth projective quadrics ⋮ On uniqueness of additive actions on complete toric varieties ⋮ Equivariant compactifications of a nilpotent group by \(G/P\) ⋮ Additive Actions on Projective Hypersurfaces ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ Additive actions on toric varieties ⋮ Euler-symmetric complete intersections in projective space ⋮ On some interesting ternary formulas ⋮ Additive actions on toric projective hypersurfaces ⋮ Additive actions on complete toric surfaces ⋮ Euler-symmetric projective toric varieties and additive actions

Cites Work

• Automorphismes et déformations des variétés de Borel
• Representability of group functors, and automorphisms of algebraic schemes
• A note on automorphism groups of algebraic varieties
• Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$
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