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Search: id:A121741
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| A121741 |
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Dimensions of the irreducible representations of the simple Lie algebra of type A2 (equivalently, the group SL3) over the complex numbers, listed in increasing order. |
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+0
7
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| 1, 3, 6, 8, 10, 15, 21, 24, 27, 28, 35, 36, 42, 45, 48, 55, 60, 63, 64, 66, 78, 80, 81, 90, 91, 99, 105, 120, 125, 132, 136, 143, 153, 154, 162, 165, 168, 171, 190, 192, 195, 210, 216, 224, 231, 234, 253, 255, 260, 270, 273, 276, 280, 288, 300
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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We include "1" for the 1-dimensional trivial representation and we list each dimension once, ignoring the fact that inequivalent representations may have the same dimension.
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REFERENCES
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N. Bourbaki, Lie groups and Lie algebras, Chapters 4-6, Springer, 2002.
J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer, 1997.
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LINKS
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Wikipedia, The special linear group
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PROGRAM
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(GAP) # see program at sequence A121732
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CROSSREFS
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Equals A088915/2.
Cf. A121732, A121736, A121737, A121738, A121739, A104599, A121214.
Sequence in context: A072149 A001066 A099518 this_sequence A043549 A124051 A026604
Adjacent sequences: A121738 A121739 A121740 this_sequence A121742 A121743 A121744
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KEYWORD
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nonn
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AUTHOR
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Skip Garibaldi (skip(AT)member.ams.org), Aug 19 2006, Aug 23 2006
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