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B.5 ncalg_lib
- Library:
- ncalg.lib
- Purpose:
- Definitions of important GR-algebras
- Authors:
- Viktor Levandovskyy, levandov@mathematik.uni-kl.de,
Oleksandr Motsak, motsak@mathematik.uni-kl.de.
Procedures:
B.5.0.1 sl | | returns U(sl_n) in char p, if an integer p is given, |
B.5.0.2 sl2 | | returns U(sl_2) in the (e,f,h) presentation; in char p, if an integer p is given, |
B.5.0.3 g2 | | returns U(g_2) in the (x(i),y(i),Ha,Hb) presentation; in char p, if an integer p is given, |
B.5.0.4 gl | | returns U(gl_n) in the (e_ij (1<i,j<n)) presentation; in char p, if an integer p is given, |
B.5.0.5 Qso3 | | returns U_q(so_3) in the presentation of Klimyk, if integer n is given, the quantum parameter will be specialized at the (2n)-th root of unity, |
B.5.0.6 Qso3Casimir | | returns a list with the (optionally normalized) Casimir elements of U_q(so_3) for the quantum parameter specialized at the n-th root of unity, |
B.5.0.7 Qsl2 | | returns ring, corresponding to the V_q(sl_2) and the ideal Qideal in it, such that U_q(sl_2) = V_q(sl_2) / Qideal; if n is specified, the quantum parameter q will be specialized at the n-th root of unity |
B.5.0.8 Qsl3 | | returns ring, corresponding to the V_q(sl_3) and the ideal Qideal in it, such that U_q(sl_3) = V_q(sl_3) / Qideal; if n is specified, the quantum parameter q will be specialized at the n-th root of unity |
B.5.0.9 GKZsystem | | returns a ring and an ideal, describing Gelfand-Kapranov-Zelevinsky system of differential equations |
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