Singular Manual: envelope

  | ### 7.3.6 envelope `Syntax:` `envelope (` ring_name `)` `Type:` ring `Purpose:` creates an enveloping algebra of a given algebra, that is , where is the opposite algebra of . `Remark:` You have to activate the ring with the `setring` command. For the presentation, see explanation of `opposite` in opposite.
      LIB "ncalg.lib";
      def A = makeUsl2();
      setring A; A;
      ==> // coefficients: QQ
      ==> // number of vars : 3
      ==> //        block   1 : ordering dp
      ==> //                  : names    e f h
      ==> //        block   2 : ordering C
      ==> // noncommutative relations:
      ==> //    fe=ef-h
      ==> //    he=eh+2e
      ==> //    hf=fh-2f
      def Aenv = envelope(A);
      setring Aenv;
      Aenv;
      ==> // coefficients: QQ
      ==> // number of vars : 6
      ==> //        block   1 : ordering dp
      ==> //                  : names    e f h
      ==> //        block   2 : ordering a
      ==> //                  : names    H F E
      ==> //                  : weights  1 1 1
      ==> //        block   3 : ordering ls
      ==> //                  : names    H F E
      ==> //        block   4 : ordering C
      ==> // noncommutative relations:
      ==> //    fe=ef-h
      ==> //    he=eh+2e
      ==> //    hf=fh-2f
      ==> //    FH=HF-2F
      ==> //    EH=HE+2E
      ==> //    EF=FE-H
See oppose; opposite.

User manual for Singular version 4-1-2p3, 2020, generated by texi2html.