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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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