On the Action of the Restricted Weyl Group on the Set of Orbits a Minimal Parabolic Subgroup

Zhgoon VS, Knop F (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Doklady Mathematics MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика)

Book Volume: 101

Pages Range: 25-29

Journal Issue: 1

DOI: 10.1134/S1064562420010093

Abstract

Abstract: We construct the action of the restricted Weyl group on the set of principal families of orbits of a minimal parabolic subgroup over an algebraically nonclosed field. Additionally, we relate this action to the action on a polarized cotangent bundle. These results generalize the corresponding results of Knop on the action of the Weyl group on the families of Borel orbits of maximal complexity and rank.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Federal Scientific Center Scientific Research Institute for System Studies of the Russian Academy of Sciences / Федеральный научный центр Научно-исследовательский институт системных исследований Российской академии наук RU Russian Federation (RU)

How to cite

APA:

Zhgoon, V.S., & Knop, F. (2020). On the Action of the Restricted Weyl Group on the Set of Orbits a Minimal Parabolic Subgroup. Doklady Mathematics, 101(1), 25-29. https://dx.doi.org/10.1134/S1064562420010093

MLA:

Zhgoon, V. S., and Friedrich Knop. "On the Action of the Restricted Weyl Group on the Set of Orbits a Minimal Parabolic Subgroup." Doklady Mathematics 101.1 (2020): 25-29.

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