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:
752 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | //------ a very simple example ------------ |
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| 3 | ring r=(0,q),(x,y),Dp; |
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| 4 | def R=nc_algebra(q,0); // this algebra is a quantum plane |
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| 5 | setring R; |
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| 6 | option(returnSB); |
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| 7 | poly f1 = x^3+2*x*y^2+2*x^2*y; |
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| 8 | poly f2 = y; |
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| 9 | poly f3 = x^2; |
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| 10 | poly f4 = x+y; |
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| 11 | ideal i = f1,f2; |
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| 12 | ideal I = twostd(i); |
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| 13 | ideal j = f3,f4; |
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| 14 | ideal J = twostd(j); |
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| 15 | quotient(I,J); |
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| 16 | module M = x*freemodule(3), y*freemodule(2); |
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| 17 | quotient(M, ideal(x,y)); |
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| 18 | kill r,R; |
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| 19 | //------- a bit more involved example |
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| 20 | LIB "ncalg.lib"; |
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| 21 | def Usl2 = makeUsl2(); |
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| 22 | // this algebra is U(sl_2) |
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| 23 | setring Usl2; |
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| 24 | ideal i = e3,f3,h3-4*h; |
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| 25 | ideal I = std(i); |
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| 26 | poly C = 4*e*f+h^2-2*h; |
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| 27 | ideal H = twostd(C-8); |
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| 28 | option(returnSB); |
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| 29 | ideal Q = quotient(I,H); |
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| 30 | // print a compact presentation of Q: |
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| 31 | print(matrix(Q)); |
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| 32 | tst_status(1);$ |
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