spielwiese
Last change
on this file since 7bb006 was
894057,
checked in by Oleksandr Motsak <motsak@…>, 13 years ago
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ADD: Tests from online manual (res+stat on mamawutz): short ones Tst/Manual/s.lst
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Property mode set to
100644
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File size:
707 bytes
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[894057] | 1 | LIB "tst.lib"; tst_init(); |
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| 2 | LIB "central.lib"; |
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| 3 | ring A = 0,(e(1..4)),dp; |
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| 4 | matrix D[4][4]=0; |
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| 5 | D[2,4] = -e(1); |
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| 6 | D[3,4] = -e(2); |
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| 7 | // This is A_4_1 - the first real Lie algebra of dimension 4. |
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| 8 | def A_4_1 = nc_algebra(1,D); setring A_4_1; |
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| 9 | ideal F = variablesSorted(); F; |
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| 10 | // the center of A_4_1 is generated by |
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| 11 | // e(1) and -1/2*e(2)^2+e(1)*e(3) |
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| 12 | // therefore one may consider computing it in the following way: |
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| 13 | // 1. Compute a PBW basis consisting of |
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| 14 | // monomials with exponent <= (1,2,1,0) |
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| 15 | ideal V = PBW_maxMonom( e(1) * e(2)^ 2 * e(3) ); |
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| 16 | // 2. Compute the centralizer of F within the vector space |
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| 17 | // spanned by these monomials: |
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| 18 | ideal C = centralizeSet( F, V ); C; |
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| 19 | inCenter(C); // check the result |
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| 20 | tst_status(1);$ |
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