Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Function: Cliplus:-`dwedge`, Cliplus:-`&dw` -Grassmann wedge product for a different Calling Sequence
 

Summary: Function: Cliplus:-`dwedge`, Cliplus:-`&dw` - Grassmann wedge product for a different
filtration
Calling Sequence:
c1 := dwedge[K](p1,p2,...,pn)
c1 := &dw[K](p1,p2,...,pn)
Parameters:
p1,p2,...,pn - Clifford polynoms (elements of one of these types: `type/clibasmon`, `type/climon`,
`type/clipolynom`)
K - index of type name, symbol, matrix, array, or `&*`(numeric,{name,symbol,matrix,array})
Output:
c1 : a Clifford polynom
Description:
The dotted-wedge (dwedge) accompanies the Grassmann wedge product, but differs in its
graduation. In fact both products are isomorphic as exterior products, but relay on different
filtrations. The dotted wedge product and the undotted one are related by the process of
cliffordization which is used in CLIFFORD internally to compute the Clifford product in Cl(V,B).
However, the cliffordization is performed in this case by an antisymmetric bilinear form B=F, say
F(x,y)=-F(y,x), where x and y are 1-vectors in V.
Procedure 'dwedge' requires one index of type name, symbol, matrix, array,
`&*`(numeric,{name,symbol,matrix,array}). When the index is a matrix or an array, it must be

  

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

 

Collections: Mathematics