symplectic groups
symplectic groups is the plural of symplectic group.
Meaning of symplectic group
Noun
symplectic group (plural symplectic groups)
- For given field F and positive integer n, the group of 2n×2n symplectic matrices with elements in F.
- This representation ω arises by virtue of the existence of an action by automorphisms of the symplectic group on a certain two-step nilpotent group, commonly called the Heisenberg group.
Weil was of course working in the adelic formalism of modern number theory, so he considered symplectic groups...1985, Roger Howe, “Dual Pairs in Physics: Harmonic Oscillators, Photons, Electrons, and Singletons”, in Mosh Flato, Paul Sally, Gregg Zuckerman, editors, Applications of Group Theory in Physics and...
- This representation ω arises by virtue of the existence of an action by automorphisms of the symplectic group on a certain two-step nilpotent group, commonly called the Heisenberg group.
Questions about symplectic groups
- What is symplectic groups the plural of?
- Symplectic groups is the plural of symplectic group.
Words near symplectic groups in the dictionary
Source and license
Adapted from Wiktionary: symplectic groups (page history and authors); symplectic group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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