spielwiese
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Last change
on this file since 6fb723 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:
689 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | LIB "ncalg.lib"; |
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| 3 | ring R = 0,a,dp; |
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| 4 | def Usl2 = makeUsl2(); |
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| 5 | setring Usl2; |
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| 6 | poly C = 4*e*f+h^2-2*h; |
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| 7 | // C is a central element of U(sl2) |
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| 8 | ideal I = e^3, f^3, h^3-4*h; |
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| 9 | ideal Z = 0; // zero |
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| 10 | ideal J = twostd(I); // two-sided GB |
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| 11 | ideal K = std(I); // left GB |
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| 12 | map Phi = R,C; // phi maps a (in R) to C (in U(sl2)) |
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| 13 | setring R; |
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| 14 | ideal PreJ = preimage(Usl2,Phi,J); |
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| 15 | // the central character of J |
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| 16 | PreJ; |
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| 17 | factorize(PreJ[1],1); |
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| 18 | // hence, there are two simple characters for J |
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| 19 | ideal PreK = preimage(Usl2,Phi,K); |
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| 20 | // the central character of K |
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| 21 | PreK; |
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| 22 | factorize(PreK[1],1); |
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| 23 | // hence, there are three simple characters for K |
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| 24 | preimage(Usl2, Phi, Z); // kernel pf phi |
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| 25 | |
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| 26 | tst_status(1);$ |
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