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Search: id:A001066
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| A001066 |
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Dimensions (sorted, with duplicates removed) of real simple Lie algebras. |
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+0
4
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| 3, 6, 8, 10, 14, 15, 16, 20, 21, 24, 28, 30, 35, 36, 42, 45, 48, 52, 55, 56, 63, 66, 70, 72, 78, 80, 90, 91, 96, 99, 104, 105, 110, 120, 126, 132, 133, 136, 143, 153, 156, 160, 168, 171, 182, 190, 195, 198, 210, 224, 231, 240, 248, 253, 255, 266, 272, 276, 286, 288, 300, 306
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OFFSET
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1,1
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COMMENT
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The possible dimensions of real simple Lie algebras are the numbers n and 2n where n runs through the dimensions of the complex simple Lie algebras.
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REFERENCES
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Freeman J. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635-652.
N. Jacobson, Lie Algebras. Wiley, NY, 1962; see pp. 141-146.
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FORMULA
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Numbers n and 2n as n runs through A003038.
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EXAMPLE
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6 is the dimension of the real simple Lie algebra SL_2(C).
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CROSSREFS
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Cf. A003038.
Sequence in context: A047282 A064437 A072149 this_sequence A099518 A121741 A043549
Adjacent sequences: A001063 A001064 A001065 this_sequence A001067 A001068 A001069
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KEYWORD
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nonn,nice,easy
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AUTHOR
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Richard E. Borcherds (reb(AT)math.berkeley.edu)
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EXTENSIONS
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Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Mar 16 2007
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