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Real form records.
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49finite group records41Lie group records38Lie algebras22specified maps
19 released records. Individual groups and parameterized families are counted separately.
| Object | Kind | Essential data | Coverage |
|---|---|---|---|
| su(2) su(2) real form | Real form Lie theory | Compact | reference Sourced record |
| su(3) su(3) real form | Real form Lie theory | Compact | reference Sourced record |
| su(4) ≅ so(6) su(4) ≅ so(6) real form | Real form Lie theory | Compact | reference Sourced record |
| su(5) su(5) real form | Real form Lie theory | Compact | reference Sourced record |
| sp(2) ≅ so(5) sp(2) ≅ so(5) real form | Real form Lie theory | Compact | reference Sourced record |
| sp(3) sp(3) real form | Real form Lie theory | Compact | reference Sourced record |
| so(8) so(8) real form | Real form Lie theory | Compact | reference Sourced record |
| so(10) so(10) real form | Real form Lie theory | Compact | reference Sourced record |
| e₆ compact e₆ compact real form | Real form Lie theory | Compact | reference Sourced record |
| e₇ compact e₇ compact real form | Real form Lie theory | Compact | reference Sourced record |
| e₈ compact e₈ compact real form | Real form Lie theory | Compact | reference Sourced record |
| f₄ compact f₄ compact real form | Real form Lie theory | Compact | reference Sourced record |
| g₂ compact g₂ compact real form | Real form Lie theory | Compact | reference Sourced record |
| su(2) ⊕ su(2) su(2) ⊕ su(2) real form | Real form Lie theory | Compact | reference Sourced record |
| sl(2, R) sl(2, R) real form | Real form Lie theory | Noncompact | reference Sourced record |
| sl(3, R) sl(3, R) real form | Real form Lie theory | Noncompact | reference Sourced record |
| su(2,2) ≅ so(2,4) su(2,2) ≅ so(2,4) real form | Real form Lie theory | Noncompact | reference Sourced record |
| sp(4, R) ≅ so(2,3) sp(4, R) ≅ so(2,3) real form | Real form Lie theory | Noncompact | reference Sourced record |
| sl(2, C) viewed over R sl(2, C) viewed over R real form | Real form Lie theory | Noncompact | reference Sourced record |
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