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Function: Cliplus:-`convert/dwedge_to_wedge`, Cliplus:-`convert/dwedge_to_wedge` -converting between wedge and dotted wedge
 

Summary: Function: Cliplus:-`convert/dwedge_to_wedge`, Cliplus:-`convert/dwedge_to_wedge` -
converting between wedge and dotted wedge
Calling Sequence:
c1 := convert(p1,wedge_to_dwedge,F)
c2 := convert(p2,dwedge_to_wedge,FT)
Parameters:
p1 - Clifford polynomial expressed in terms of un-dotted standard Grassmann wedge basis
(element of one of these types: `type/clibasmon`, `type/climon`, `type/clipolynom`)
p2 - Clifford polynomial in dotted basis (although still expressed in terms of the standard
Grassmann wedge monomials)
F, FT - argument of type name, symbol, matrix, array, or
`&*`(numeric,{name,symbol,matrix,array}). When F and FT are matrices or arrays, they are
expected to be antisymmetric and negative of each other, that is, FT = linalg[transpose](F).
F is assumed to be, by default, the antisymmetric part of B.
Output:
c1 : a Clifford polynomial expressed in terms of the un-dotted Grassmann basis
c2 : a Clifford polynomial in "dotted" basis expressed in terms of the standard Grassmann basis
Description:
These two functions are used by the dotted-wedge in Cl(B) given by dwedge. The latter
accompanies the Grassmann wedge product, but differs in its graduation. In fact both products are

  

Source: Ablamowicz, Rafal - Department of Mathematics, Tennessee Technological University

 

Collections: Mathematics