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A034583
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Dimension of an irreducible R-module for Clifford algebra Cl_n.
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6
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1, 2, 4, 4, 8, 8, 8, 8, 16, 32, 64, 64, 128, 128, 128, 128, 256, 512, 1024, 1024, 2048, 2048, 2048, 2048, 4096, 8192, 16384, 16384, 32768, 32768, 32768, 32768, 65536, 131072, 262144, 262144, 524288, 524288, 524288, 524288, 1048576, 2097152, 4194304, 4194304, 8388608, 8388608, 8388608, 8388608, 16777216, 33554432, 67108864, 67108864, 134217728
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OFFSET
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0,2
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REFERENCES
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H. Blaine Lawson, Jr. and M.-L. Michelsohn, Spin Geometry, Princeton, p. 33.
Pertti Lounesto, Clifford Algebras and Spinors, Cambridge, 1997, p. 226.
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LINKS
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FORMULA
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a(n) = 2^A034584(n). a(n+8) = 16*a(n).
G.f.: -(8*x^7+8*x^6+8*x^5+8*x^4+4*x^3+4*x^2+2*x+1) / ((2*x^2-2*x+1)*(2*x^2-1)*(2*x^2+1)*(2*x^2+2*x+1)). - Colin Barker, Mar 27 2015
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PROG
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(PARI) Vec(-(8*x^7+8*x^6+8*x^5+8*x^4+4*x^3+4*x^2+2*x+1) / ((2*x^2-2*x+1)*(2*x^2-1)*(2*x^2+1)*(2*x^2+2*x+1)) + O(x^100)) \\ Colin Barker, Mar 27 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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