Actions of symplectic groups on certain manifolds

DOI10.2748/tmj/1178228905zbMath0542.57028OpenAlexW1975965390MaRDI QIDQ795386

Aiko Nakanishi, Fuichi Uchida

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228905

zbMATH Keywords

smooth actions of the symplectic group on a closed manifold having the cohomology ring of a product of complex or quaternionic projective spaces

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15)

Related Items (1)

Smooth \(SL(n,\mathbb{H})\), \(Sp(n,\mathbb{C})\)-actions on \((4n-1)\)-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Actions of special unitary groups on a product of complex projective spaces
• Real analytic SL(n,\({\mathbb{R}})\) actions on spheres
• Actions of symplectic groups on a product of quaternion projective spaces
• On the non-existence of smooth actions of complex symplectic group on cohomology quaternion projective spaces
• Compact transformation groups and fixed point sets of restricted action to maximal torus
• The cohomology ring structure of a fixed point set
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• The maximal subgroups of the classical groups
• Characteristic Classes and Homogeneous Spaces, I
• Differentiable Actions of Compact Connected Classical Groups I
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Actions of symplectic groups on certain manifolds