spielwiese
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Last change
on this file since 951db29 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:
590 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | ring r=(0,a),(e,f,h),Dp; |
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| 3 | matrix d[3][3]; |
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| 4 | d[1,2]=-h; d[1,3]=2e; d[2,3]=-2f; |
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| 5 | def R=nc_algebra(1,d); |
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| 6 | setring R; |
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| 7 | // this algebra is U(sl_2) over Q(a) |
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| 8 | ideal I = e2, f2, h2-1; |
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| 9 | I = std(I); |
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| 10 | // print a compact presentation of I |
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| 11 | print(matrix(I)); |
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| 12 | ideal J = e, h-a; |
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| 13 | J = std(J); |
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| 14 | // print a compact presentation of J |
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| 15 | print(matrix(J)); |
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| 16 | poly z=4*e*f+h^2-2*h; |
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| 17 | // z is the central element of U(sl_2) |
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| 18 | reduce(z,I); // the central character of I: |
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| 19 | reduce(z,J); // the central character of J: |
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| 20 | poly nz = z - NF(z,J); // nz will belong to J |
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| 21 | reduce(nz,J); |
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| 22 | reduce(I,J); |
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| 23 | tst_status(1);$ |
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