Results 51 to 60 of about 240 (137)

STABLE CLASS OF EQUIVARIANT ALGEBRAIC VECTOR BUNDLES OVER REPRESENTATIONS [PDF]

open access: yesJournal of the Korean Mathematical Society, 2002
Summary: Let \(G\) be a reductive algebraic group and let \(B,F\) be \(G\)-modules. We denote by \(\text{VEC}_G(B,F)\) the set of isomorphism classes in algebraic \(G\)-vector bundles over \(B\) with \(F\) as the fiber over the origin of \(B\). \textit{G. Schwarz} [in: Topological methods in algebraic transformation groups, Prog. Math.
openaire   +2 more sources

Equivariant algebraic vector bundles over adjoint representations

open access: yesOsaka Journal of Mathematics, 1995
In this article, the authors extend a result of \textit{F. Knop} which appeared in Invent. Math. 105, No. 1, 217-220 (1991; Zbl 0739.20019) for the case of semisimple groups. Given a reductive complex algebraic group \(G\), let \(F\) be an irreducible \(G\)-module, and denote by \({\mathfrak g}\) the Lie algebra of \(G\). Denote by VEC\(_G({\mathfrak g}
Masuda, Mikiya, Nagase, Teruko
openaire   +4 more sources

Equivariant Oka theory: survey of recent progress. [PDF]

open access: yesComplex Analysis Synerg, 2022
Kutzschebauch F   +2 more
europepmc   +1 more source

On the equivariant vector bundles on $\mathbb{CP}^1$

open access: yes
Let $H$ be a subgroup of ${\rm PGL}(2,\mathbb C)$ (respectively, ${\rm SL}(2,\mathbb C)$) such that the Zariski closure in ${\rm PGL}(2,\mathbb C)$ (respectively, ${\rm SL}(2,\mathbb C)$) of some compact subgroup of $H$ contains $H$. We classify the $H$--equivariant holomorphic vector bundles on $\mathbb{CP}^1$. This generalizes \cite{BM} where $H$ was
Biswas, Indranil   +2 more
openaire   +2 more sources

Equivariant vector bundles over the upper half plane

open access: yesIllinois Journal of Mathematics, 2003
The author classifies all the Hermitian holomorphic vector bundles equipped with an equivariant \(\text{ SL}(2,\mathbb R)\) action over the hyperbolic plane. The study relies on the fact that the action of \(\text{ SL}(2,\mathbb R)\) on the space of sections of such a bundle commutes with the Chern connection.
openaire   +3 more sources

Perverse schobers and Orlov equivalences. [PDF]

open access: yesEur J Math, 2023
Koseki N, Ouchi G.
europepmc   +1 more source

TORUS-EQUIVARIANT VECTOR BUNDLES AND STABLE VECTOR BUNDLES

open access: yesTORUS-EQUIVARIANT VECTOR BUNDLES AND STABLE VECTOR BUNDLES
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openaire  

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