Results 111 to 120 of about 240 (137)

Quantization of Equivariant Vector Bundles [PDF]

open access: yesCommunications in Mathematical Physics, 1999
The quantization of vector bundles is defined. Examples are constructed for the well controlled case of equivariant vector bundles over compact coadjoint orbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple symmetry group.) In preparation for the main result, the quantization of coadjoint orbits is discussed in detail.
Eli Hawkins
exaly   +4 more sources

EQUIVARIANT VECTOR BUNDLES ON T-VARIETIES [PDF]

open access: yesTransformation Groups, 2015
27 pages, 4 figures. Final version.
Nathan Ilten   +2 more
exaly   +3 more sources

EQUIVARIANT VECTOR BUNDLES OVER GRAPHS

open access: yesJournal of the Korean Mathematical Society, 2017
In the paper under review the author considers equivariant (topological complex) vector bundles over graphs, the acting group is a compact Lie group. Such bundles over a circle have been classified in [\textit{J.-H. Cho} et al., J. Math Kyoto Univ. 41, No. 3, 517--534 (2001; Zbl 1149.57317)].
exaly   +3 more sources

Equivariant vector bundles on Drinfeld’s upper half space [PDF]

open access: yesInventiones Mathematicae, 2008
Let X be Drinfeld's upper half space of dimension d over a finite extension K of Q_p. We construct for every homogeneous vector bundle F on the projective space P^d a GL_{d+1}(K)-equivariant filtration by closed K-Frechet spaces on F(X). This gives rise by duality to a filtration by locally analytic GL_{d+1}(K)-representations on the strong dual.
Sascha Orlik
exaly   +4 more sources

Equivariant embeddings of principal Z-bundles into complex vector bundles

open access: yesTopology and Its Applications, 1983
AbstractLet π: E→X be a principal Zn-bundle and p:V→X an m-dimensional complex vector bundle over, say, a connected CW-complex X. An equivariant embedding of π into p is an embedding h:E → V commuting with projections such that h(e · z)=zh(e) for all eεE and zεZn⊂S 1⊂Z.
exaly   +3 more sources
Some of the next articles are maybe not open access.

Equivariant vector bundles on toric varieties

2022
A.A. Klyachko discovered that an equivalence of categories can be established between toric vector bundles over a toric variety and multifiltered vector spaces subject to a compatibility condition. This allows one to investigate a lot of properties of toric vector bundles by combinatorics.
openaire   +2 more sources

Equivariant Maps from Stiefel Bundles to Vector Bundles

Proceedings of the Edinburgh Mathematical Society, 2016
AbstractLet E → B be a fibre bundle and let Eʹ → B be a vector bundle. Let G be a compact Lie group acting fibre preservingly and freely on both E and Eʹ – 0, where 0 is the zero section of Eʹ → B. Let f : E → Eʹ be a fibre-preserving G-equivariant map and let Zf = {x ∈ E | f(x) = 0} be the zero set of f.
openaire   +2 more sources

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