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7.5.20 nctools_lib
- Library:
- nctools.lib
- Purpose:
- General tools for noncommutative algebras
- Authors:
- Levandovskyy V., levandov@mathematik.uni-kl.de,
Lobillo, F.J., jlobillo@ugr.es,
Rabelo, C., crabelo@ugr.es,
Motsak, O., U@D, where U={motsak}, D={mathematik.uni-kl.de}
- Overview:
- Support: DFG (Deutsche Forschungsgesellschaft) and Metodos algebraicos y efectivos
en grupos cuanticos, BFM2001-3141, MCYT, Jose Gomez-Torrecillas (Main researcher).
Procedures:
| 7.5.20.0. Gweights | | compute weights for a compatible ordering in a G-algebra, |
| 7.5.20.0. weightedRing | | change the ordering of a ring to a weighted one, |
| 7.5.20.0. ndcond | | the ideal of non-degeneracy conditions in G-algebra, |
| 7.5.20.0. Weyl | | create Weyl algebra structure in a basering (two different realizations), |
| 7.5.20.0. makeWeyl | | return n-th Weyl algebra in (x(i),D(i)) presentation, |
| 7.5.20.0. makeHeisenberg | | return n-th Heisenberg algebra in (x(i),y(i),h) realization, |
| 7.5.20.0. Exterior | | return qring, the exterior algebra of a basering, |
| 7.5.20.0. findimAlgebra | | create finite dimensional algebra structure from the basering and the multiplication matrix M, |
| 7.5.20.0. superCommutative | | return qring, a super-commutative algebra over a basering, |
| 7.5.20.0. rightStd | | compute right Groebner basis of an ideal, |
| 7.5.20.0. rightNF | | compute right normal form wrt a submodule, |
| 7.5.20.0. rightModulo | | compute kernel of a homomorphism of right modules, |
| 7.5.20.0. moduloSlim | | compute modulo command via slimgb |
| 7.5.20.0. ncRelations | | recover the non-commutative relations of a G-algebra, |
| 7.5.20.0. isCentral | | check for the commutativity of a polynomial in the G-algebra, |
| 7.5.20.0. isNC | | check whether basering is noncommutative, |
| 7.5.20.0. isCommutative | | check whether basering is commutative |
| 7.5.20.0. isWeyl | | check whether basering is a Weyl algebra |
| 7.5.20.0. UpOneMatrix | | return NxN matrix with 1's in the whole upper triagle, |
| 7.5.20.0. AltVarStart | | return first alternating variable of a super-commutative algebra, |
| 7.5.20.0. AltVarEnd | | return last alternating variable of a super-commutative algebra, |
| 7.5.20.0. IsSCA | | check whether current ring is a super-commutative algebra, |
| 7.5.20.0. makeModElimRing | | equip a ring with module elimination ordering, |
| 7.5.20.0. embedMat | | embeds matrix M in a left upper corner of m times n matrix |
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