
(/VERSIONCHECK 2) 

(DEFPARAMETER |FramedNonAssociativeAlgebra;CAT| 'NIL) 

(DEFPARAMETER |FramedNonAssociativeAlgebra;AL| 'NIL) 

(DEFUN |FramedNonAssociativeAlgebra| (#1=#:G1798)
  (LET (#2=#:G1799)
    (COND
     ((SETQ #2#
              (|assoc| #3=(|devaluate| #1#) |FramedNonAssociativeAlgebra;AL|))
      (CDR #2#))
     (T
      (SETQ |FramedNonAssociativeAlgebra;AL|
              (|cons5|
               (CONS #3# (SETQ #2# (|FramedNonAssociativeAlgebra;| #1#)))
               |FramedNonAssociativeAlgebra;AL|))
      #2#)))) 

(DEFUN |FramedNonAssociativeAlgebra;| (|t#1|)
  (PROG (#1=#:G1797)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV| (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
                          (COND (|FramedNonAssociativeAlgebra;CAT|)
                                ('T
                                 (LETT |FramedNonAssociativeAlgebra;CAT|
                                       (|Join|
                                        (|FiniteRankNonAssociativeAlgebra|
                                         '|t#1|)
                                        (|mkCategory| '|domain|
                                                      '(((|basis|
                                                          ((|Vector| $)))
                                                         T)
                                                        ((|coordinates|
                                                          ((|Vector| |t#1|) $))
                                                         T)
                                                        ((|coordinates|
                                                          ((|Matrix| |t#1|)
                                                           (|Vector| $)))
                                                         T)
                                                        ((|elt|
                                                          (|t#1| $
                                                           (|Integer|)))
                                                         T)
                                                        ((|structuralConstants|
                                                          ((|Vector|
                                                            (|Matrix| |t#1|))))
                                                         T)
                                                        ((|conditionsForIdempotents|
                                                          ((|List|
                                                            (|Polynomial|
                                                             |t#1|))))
                                                         T)
                                                        ((|represents|
                                                          ($ (|Vector| |t#1|)))
                                                         T)
                                                        ((|convert|
                                                          ((|Vector| |t#1|) $))
                                                         T)
                                                        ((|convert|
                                                          ($ (|Vector| |t#1|)))
                                                         T)
                                                        ((|leftDiscriminant|
                                                          (|t#1|))
                                                         T)
                                                        ((|rightDiscriminant|
                                                          (|t#1|))
                                                         T)
                                                        ((|leftTraceMatrix|
                                                          ((|Matrix| |t#1|)))
                                                         T)
                                                        ((|rightTraceMatrix|
                                                          ((|Matrix| |t#1|)))
                                                         T)
                                                        ((|leftRegularRepresentation|
                                                          ((|Matrix| |t#1|) $))
                                                         T)
                                                        ((|rightRegularRepresentation|
                                                          ((|Matrix| |t#1|) $))
                                                         T)
                                                        ((|leftRankPolynomial|
                                                          ((|SparseUnivariatePolynomial|
                                                            (|Polynomial|
                                                             |t#1|))))
                                                         (|has| |t#1|
                                                                (|Field|)))
                                                        ((|rightRankPolynomial|
                                                          ((|SparseUnivariatePolynomial|
                                                            (|Polynomial|
                                                             |t#1|))))
                                                         (|has| |t#1|
                                                                (|Field|)))
                                                        ((|apply|
                                                          ($ (|Matrix| |t#1|)
                                                           $))
                                                         T))
                                                      NIL
                                                      '((|Matrix| |t#1|)
                                                        (|SparseUnivariatePolynomial|
                                                         (|Polynomial| |t#1|))
                                                        (|Vector| |t#1|)
                                                        (|List|
                                                         (|Polynomial| |t#1|))
                                                        (|Vector|
                                                         (|Matrix| |t#1|))
                                                        (|Integer|)
                                                        (|Vector| $))
                                                      NIL))
                                       . #2=(|FramedNonAssociativeAlgebra|)))))
               . #2#)
       (SETELT #1# 0
               (LIST '|FramedNonAssociativeAlgebra| (|devaluate| |t#1|))))))) 
