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On Jacobians with group action and coverings

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1 Published in 2019 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-019-02263-3

Abstract: Let S be a compact Riemann surface and let H be a finite group. It is known that if H acts on S ,  then there is a H -equivariant isogeny decomposition of the Jacobian… read more here.

Keywords: group action; decomposition; group algebra; algebra decomposition ... See more keywords

The Symmetric Group Action on Rank-selected Posets of Injective Words

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1 Published in 2018 at "Order"

DOI: 10.1007/s11083-016-9417-9

Abstract: The symmetric group Sn$\mathfrak {S}_{n}$ acts naturally on the poset of injective words over the alphabet {1, 2,…,n}. The induced representation on the homology of this poset has been computed by Reiner and Webb. We… read more here.

Keywords: injective words; rank selected; group action; symmetric group ... See more keywords

Weyl group action on weight zero Mirković-Vilonen basis and equivariant multiplicities

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0 Published in 2021 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2021.107793

Abstract: We state a conjecture about the Weyl group action coming from Geometric Satake on zero-weight spaces in terms of equivariant multiplicities of Mirkovic-Vilonen cycles. We prove it for small coweights in type A. In this… read more here.

Keywords: group action; vilonen basis; weyl group; equivariant multiplicities ... See more keywords

Group action on local dendrites

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1 Published in 2018 at "Topology and its Applications"

DOI: 10.1016/j.topol.2018.08.002

Abstract: Abstract Let G be a group acting by homeomorphisms on a local dendrite X with countable set of endpoints. In this paper, it is shown that any minimal set M of G is either a… read more here.

Keywords: group; topology; action local; local dendrites ... See more keywords

Spaces of Bounded Measurable Functions Invariant under a Group Action

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1 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11100505

Abstract: In this paper, we characterize spaces of L∞-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work is analogous to established results concerning invariant spaces of continuous… read more here.

Keywords: topology; measurable functions; group action; spaces bounded ... See more keywords