Department of Mathematics
Tennessee Technological University 
CLIFFORD  A Maple 11 Package for Clifford Algebra
Computations
Version 11, May 26, 2009
with Bigebra, Cliplus, Define, code_support, GfG,
GTP, Octonion, RJgrobner, SchurFkt, SymGroupAlgebra, and SP
Rafal Ablamowicz (*) and Bertfried Fauser (**)
(*) Department of Mathematics, Box 5054
Tennessee Technological University, Cookeville, TN 38505
phone: USA (931) 3723569, fax: USA (931) 3726353
rablamowicz@tntech.edu
This version of CLIFFORD
and its supplementary packages is dedicated to Hermann Grassmann
(18091877), mathematician, physicist and linguist on the
125th anniversary of his death on 26 September 1877 in Stettin,
Germany
(now Szczecin, Poland). He was coinventor of vector calculus and
author
of many papers on ndimensional geometry, linear algebra, acoustics,
and
optics. Hermann
Grassmann (18091877) from Wikipedia 
Version 11 of CLIFFORD for Clifford algebra computations in Maple 11 is distributed as library_M11.zip that contains the following packages:
===============
DISCLAIMER: THERE IS NO WARRANTY FOR THE CLIFFORD,
Bigebra, Cliplus, Define, GfG, GTP, Octonion, RJGrobner, SchurFkt,
SymGroupAlgebra, SINGULARPLURALlink, SP, code_support PACKAGES
TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED
IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE
PROGRAM
"AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED,
INCLUDING,
BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANT ABILITY AND
FITNESS
FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND
PERFORMANCE
OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU
ASSUME
THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
===============
You can find out how I use CLIFFORD by going to my
recent publications page.
Files:  Name:  Size:  Description: 
Libraries:  library_M11.zip  1.6MB 
A .zip file with all library files containing compiled code
for Bigebra, CLIFFORD, Cliplus, Define, code_support, GfG, GTP,
Octonion, RJgrobner, SchurFkt, SP, SymGroupAlgebra, and
SINGULARPLURALlink together
with help pages for most modules. It includes also a
sample maple.ini file that needs to be placed in \Lib or \Users
subdirectory of Maple 11
directory on Windows machine. For more detailed installation
instructions
see README.txt.
Posted/Last updated: 05/26/2009 
Documentation:  all_help_pages22vi08_M11.pdf  40MB 
A single file with all help pages in pdf format for all
functions and procedures in all
modules. It contains 1,129 pages in full color. Posted/Last updated: 6/22/2008 
BigebraHelpPages20xii07_M11.pdf  5.277MB  A single file
with all help pages in pdf format for Bigebra. It
contains 157
pages in full color. Posted/Last updated: 6/22/2008 

BigebraHelpPages20xii07_M11.zip  158KB 
A
single file with all help pages in mws format for Bigebra. It
contains 38 files. Posted/Last updated: 6/22/2008 

CliffordHelpPages20xii07_M11.pdf  13.6MB  A single file
with all help pages in pdf format for all procedures in CLIFFORD.
It contains 425 pages in full color. Posted/Last updated: 6/22/2008 

CliffordHelpPages20xii07_M11.zip  417
KB 
A
single file with all help pages in mws format for all procedures in CLIFFORD.
It contains 110 files. Posted/Last updated: 6/22/2008 

CliplusHelpPages20xii07_M11.pdf  1.8MB 
A single file
with all help pages in pdf format for all procedures in Cliplus.
It contains 74 pages in full color. Posted/Last updated: 6/22/2008 

CliplusHelpPages20xii07_M11.zip  78KB 
A
single file with all help pages in mws format for all procedures in Cliplus.
It contains 14 files. Posted/Last updated: 6/22/2008 

GfGHelpPages22vi08_M11.pdf 
170KB 
A
single file
with all help pages in pdf format for all procedures in GfG.
It contains 34 pages in full color. Posted/Last updated: 6/22/2008 

GfGHelpPages22vi08_M11.zip  1.2MB 
A
single file
with all help pages in mws format for all procedures in GfG.
It contains 1 file with examples. Posted/Last updated: 6/22/2008 

GTPHelpPages20xii07_M11.pdf  1.2MB 
A single file
with all help pages in pdf format for all procedures in GTP.
It contains 34 pages in full color. Posted/Last updated: 6/22/2008 

GTPHelpPages20xii07_M11.zip  31KB 
A
single file with all help pages in mws format for all procedures in GTP.
It contains 12 file. Posted/Last updated: 6/22/2008 

OctonionHelpPages20xii07_M11.pdf  1.7MB 
A single file
with all help pages in pdf format for all procedures in Octonion.
It contains 31 pages in full color. Posted/Last updated: 6/22/2008 

OctonionHelpPages20xii07_M11.zip  34KB 
A
single file with all help pages in mws format for all procedures in Octonion.
It contains 15 files. Posted/Last updated: 6/22/2008 

RJgrobnerHelpPages19vi08_M11.pdf 
4.6MB 
A
single file
with all help pages in pdf format for all procedures in RJgrobner.
It contains 26 pages in full color. Posted/Last updated: 6/22/2008 

RJgrobnerHelpPages19vi08_M11.zip  22KB 
A
single file
with all help pages in mws format for all procedures in RJgrobner.
It contains 1 file with examples. Posted/Last updated: 6/22/2008 

SchurFktHelpPages19vi08_M11.pdf  7.3MB 
A
single file
with all help pages in pdf format for all procedures in SchurFkt.
It contains 174 pages in full color. Posted/Last updated: 6/22/2008 

SchurFktHelpPages19vi08_M11.zip  174KB 
A
single file with all help pages in mws format for all procedures in SchurFkt.
It contains 66 files. Posted/Last updated: 6/22/2008 

SINGULARPLURALlinkHelpPages19vi08_M11.pdf 
221KB 
A
single file
with all help pages in pdf format for all procedures in SINGULARPLURALlink.
It contains 30 pages in full color. Posted/Last updated: 6/22/2008 

SINGULARPLURALlinkHelpPages19vi08_M11.zip  16.5KB 
A
single file with all help pages in mws format for all procedures in SINGULARPLURALlink.
It contains 1 file with examples. Posted/Last updated: 6/22/2008 

SPHelpPages19vi08_M11.pdf 
2.43MB 
A
single file
with all help pages in pdf format for all procedures in SP. It contains 88 pages in full
color. Posted/Last updated: 6/22/2008 

SPHelpPages19vi08_M11.zip  81KB 
A
single file
with all help pages in mws format for all procedures in SP. It
contains 18 files. Posted/Last updated: 6/22/2008 

code_supportHelpPages22vi08_M11.pdf  0.5MB 
A single file
with three help pages in pdf format for all procedures in code_support.
It contains 90 pages in full color. Posted/Last updated: 6/22/2008 

code_supportHelpPages22vi08_M11.zip 
51KB 
A
single file with three help pages in mws format for all procedures in code_support.
It contains 3 files. Posted/Last updated: 6/22/2008 

README.txt.  9KB  Installation instructions Posted/Last updated: 05/26/2009 

Code:  all_code_mws26v09_M11.zip  237KB  A .zip file with CLIFFORD, Bigebra, Cliplus,
Define, GTP, Octonion, code_support,
SchurFkt, SINGULARPLURALlink, GfG, RJgrobner
and SP Maple 11
worksheets
with codes for all modules. Posted/Last updated: 05/26/2009 [only code of Octonion fixed on May 26, 2009] 
Bigebra_1.01_M11.mws  44KB  A Maple 11 worksheet with Bigebra code ver
1.01. Posted/Last updated: 6/22/2008 

clifford_08_M11.mws  309KB  A Maple 11 worksheet with CLIFFORD code ver 08.
Posted/Last updated: 6/22/2008 

Cliplus_02_M11.mws  29.4KB  A Maple 11 worksheet with Cliplus code ver.
02. Posted/Last updated: 6/22/2008 

Define_1.00_M11.mws  25.7KB  A Maple 11 worksheet with Define code ver.
1.00. Posted/Last updated: 6/22/2008 

GfG_22vi08_M11.mws 
75.9KB 
A
Maple 11 worksheet with GfG code ver. 22 vi 2008. Posted/Last updated: 6/22/2008 

GTP_01_M11.mws  17.8KB  A Maple 11 worksheet with GTP code ver. 01. Posted/Last updated: 6/22/2008 

Octonion_03_M11.mws  24.3KB  A Maple 11 worksheet with Octonion code ver.
03. Posted/Last updated: 05/26/2009 

RJgrobner_07_M11.mws 
58.5KB 
A
Maple 11 worksheet with RJgrobner code ver.
07. Posted/Last updated: 6/22/2008 

SchurFktcodever.1.0.29vi08_M11.mws 
132KB 
A
Maple 11 worksheet with SchurFkt code ver.1.0.2. 9 vi
2008. Posted/Last updated: 6/22/2008 

SINGULARPLURALlink_0515_M11.mws  85KB 
A
Maple 11 worksheet with SINGULARPLURALlink code ver.
0515. Posted/Last updated: 6/22/2008 

SP_06_M11.mws 
45KB 
A
Maple 11 worksheet with SP code ver. 06. Posted/Last updated: 6/22/2008 

SPinitialization_01_M11.mws 
13KB 
A
Maple 11 worksheet with SPinitialization code ver. 01 needed
for the SP package. Posted/Last updated: 6/22/2008 

code_support_1.03_M11.mws  37KB  A Maple 11 worksheet with code_support code ver.
1.03. Posted/Last updated: 6/22/2008 
The initialization is finished. If you have any problems with installation under Linux, please contact Dr. Bertfried Fauser at:
==5b==>
open the file maple, and look for the place where xmaple11 is
called
change this line to (no white space after \ or type a single line only)
> exec ${MAPLE}/$MAPLE_SYS_BIN/xmaple11 km p b
${MAPLE}/Cliffordlib
\ b ${MAPLE}/lib $INCLUDES $PARAM
and change the line where mapleTTY is loaded to
> exec ${MAPLE}/$MAPLE_SYS_BIN/mapleTTY b
${MAPLE}/Cliffordlib
\ b ${MAPLE}/lib $INCLUDES $PARAM
(The option b makes maple aware of locations of libraries. In
this
way you might want ot change every start script of several maple
versions
to find their own local libraries)
> exit
leave root shell.
When the package is loaded, you should see a list with names of
available
procedures. If the package has not loaded and you get an error message
make sure that files maple.hdb, maple.lib, and maple.ind
extracted from library_M11.zip
are all located in the directory such as C:\Maple11\Cliffordlib
and
that the path to that directory is included in maple.ini file.
To
see if maple.ini has been executed, type
>libname;
and Maple should respond with
"C:\\Maple11/Cliffordlib", "C:\\Maple11/lib"
if maple.ini had this line:
libname:="C:\\Maple11/Cliffordlib",libname:
Most recent papers with CLIFFORD, Bigebra, etc.
RECENT BOOKS ON CLIFFORD ALGEBRAS:
"Clifford Algebras  Applications to Mathematics, Physics, and Engineering", Progress in Mathematical Physics, Volume 34, Rafa\l Ab\lamowicz, ed., Birkhauser, Boston 2004, ISBN 0817635254  
To order  More information 
"Lectures on Clifford (Geometric) Algebras and Applications", Rafa\l Ab\lamowicz and Garret Sobczyk, editors, Birkhauser, Boston 2004, ISBN 0817632573  
To
order 
More information 
``Clifford Algebras and their Applications in Mathematical Physics  Vol. 1 Algebra and Physics, Vol. 2 Clifford Analysis'', Rafa\l Ab\lamowicz and Bertfried Fauser (Vol. 1), editors; and John Ryan and Wolfgang Sproessig (Vol. 2), editors, Birkhauser Boston 2000, ISBN 0817641823 (Vol. 1), 0817641831 (Vol. 2)  
To order vol. 1 To order vol. 2  More information 
``Clifford Algebras with Numeric and Symbolic Computations'', Rafa\l Ab\lamowicz, Pertti Lounesto, Josep M. Parra, editors, Birkhauser, Boston, 1996, ISBN 0817639071  
To order 
``Clifford Algebras and Spinor Structures  A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919  1992)'', Rafa\l Ab\lamowicz and Pertti Lounesto, editors, Kluwer, Dordrecht, 1995, ISBN 0792333667  
To order 
Please direct all questions, comments, and bug reports to:
Rafal Ablamowicz rablamowicz@tntech.edu
Department of Mathematics, Box 5054
Tennessee Technological University
Cookeville, TN 38505
phone: USA (931) 3723622
fax: USA (931) 3726353
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Last updated: May 26, 2009/ra