Toric orbifolds associated with partitioned weight polytopes in classical types

Abstract Given a root system $$\Phi $$ of type $$A_n$$, $$B_n$$, $$C_n$$, or $$D_n$$ in Euclidean space E, let W be the associated Weyl group. For a point $$p \in E$$ not orthogonal to any of the roots in $$\Phi $$, we consider the W-permutohedron $$P_W$$, which is the convex hull of the W-orbit of...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Horiguchi, Tatsuya [verfasserIn]

Masuda, Mikiya [verfasserIn]

Shareshian, John [verfasserIn]

Song, Jongbaek [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2024

Schlagwörter:

Toric varieties

Root systems

Cohomology

Permutohedra

Weight polytopes

Weyl groups

Parabolic subgroups

Hessenberg varieties

Anmerkung:

© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:

Enthalten in: Selecta mathematica - Springer International Publishing, 1995, 30(2024), 5 vom: 27. Sept.

Übergeordnetes Werk:

volume:30 ; year:2024 ; number:5 ; day:27 ; month:09

Links:

Volltext

DOI / URN:

10.1007/s00029-024-00977-9

Katalog-ID:

SPR05748757X

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