symplectic group
group of matrices preserving a non-degenerate alternating quadratic form
Facts
6 properties- Subclass of
- Lie group, classical group[1][2]
- Defining formula
- S \in \operatorname{Sp}(2n,F) \quad \text{iff} \quad S^\text{T}\Omega S = \Omega[4]
- Different from
- compact symplectic group[3]
- Has part(s) of the class
- symplectic matrix[6]
- Maintained by WikiProject
- WikiProject Mathematics[7]
- Studied by
- Lie theory[5]
🏷️ Also known as
en symplectic group
cs symplektická grupa
de symplektische Gruppe
es grupo simpléctico
fr groupe symplectique
it gruppo simplettico
ja 斜交群
ko 심플렉틱 군
nl symplectische groep
pt grupo simplético
ru симплектическая группа
uk симплектична група
vi nhóm symplectic
zh 辛群
🔖 Identifiers · 10
- OpenAlex ID
- C175322374
- Freebase ID
- /m/017gsw
- Great Russian Encyclopedia portal ID
- simplekticheskaia-gruppa-ae114b
- Group Properties article ID
- Symplectic_group
- LMFDB knowl ID
- group.sp2gr
- MathWorld ID
- SymplecticGroup
- Microsoft Academic ID (discontinued)
- 175322374
- NDL Authority ID
- 00571095
- NLab ID
- symplectic group
- ScienceDirect topic ID
- mathematics/symplectic-group
📚 Sources · 1
- ndl_authorities data obtained from Web NDL Authorities (National Diet Library)
⛏️ Lake Facts
· open-dataset statements via 4ort-mint
From open datasets, joined by identifier and shown only for properties Wikidata does not state on this entity — except where the dataset is the registry authority for the fact (ClinicalTrials.gov on trial registration data): there its value is shown instead, with Wikidata's noted beside it. Every row carries its dataset edition and licence.
Library of Congress Authorities IDP244
sh85131552
2026-10-01
ndl_authorities (pdl-1.0)
as of 2026-10-01
where from?
- Source
- ndl_authorities
- Edition
- 20261001 · as of 2026-10-01 · newer edition 20261103 landed
- Licence
- pdl-1.0
- Credit
- data obtained from Web NDL Authorities (National Diet Library)
- Bronze
- manifest sha256
6e048898660f1188… - Transform
- 4ort-mint · lake · version not recorded
data obtained from Web NDL Authorities (National Diet Library)
🔗 Connections
Subclass of 2
Has part(s) of the class 1
Maintained by WikiProject 1
Studied by 1
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