prehomogeneous

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adjective

Having an automorphism group with an open orbit.

Scrabble 22
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Meanings

adjectiveprehomogeneous (not comparable)
  1. not comparablemathematicsHaving an automorphism group with an open orbit.

    To justify this viewpoint, we prove the convergence of p-adic local zeta integrals under certain premises, work out the case of prehomogeneous vector spaces and re-derive a large portion of Godement-Jacquet theory.

    2015, Wen-Wei Li, “Zeta integrals, Schwartz spaces and local functional equations”, in arXiv

Origin

From pre- + homogeneous.

Full word history & related roots →
Cite this entry
APA

prehomogeneous. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/prehomogeneous

MLA

“prehomogeneous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/prehomogeneous. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “prehomogeneous,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/prehomogeneous.

Source: prehomogeneous on Wiktionary, CC BY-SA 4.0.