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| About site: Math/Algebra/Group Theory - International Society for Group Theory in Cognitive Science |
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| About site: http://www.rci.rutgers.edu/~mleyton/GT.htm |
Title: Math/Algebra/Group Theory - International Society for Group Theory in Cognitive Science Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing,
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Introduction_to_Group_Theory A fairly easy to understand tutorial. Fourteen sections, including groups, Cayley tables, subgroups, cosets, Lagrange's theorem, cyclic groups and subgroups, permutations, and Rubik's cube.
| The_Lie_algebras_su(N),_an_introduction Publication: An Introduction to the Lie Algebras su(N). By Walter Pfeifer, Switzerland. A free copy can be ordered.
| Mod-2_Cohomology_of_2-Groups Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
| The_Moonshine_Page Bibliography, meetings.
| New_York_Group_Theory_Cooperative Software (Magnus), preprints, meetings, links. Magnus - a graphically-oriented system for computational group theory - allows one to explore and experiment with abstract groups without the need for l
| Open_Problems_in_Group_Theory Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
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International Society for Group Theory in Cognitive Science
GT-CS
International Society for
Group Theory in Cognitive
Science
BB
Society President:
Michael Leyton (USA)
Eloise Carlton
(USA),
Vladimir Dorodnitsyn (Russia),
Roy Eagleson (Canada),
Athanassios Economou (USA),
Mario Ferraro (Italy),
Victor Finn (Russia),
Nathaniel Friedman (USA),
Ted Goranson (USA),
Bill Hammel (USA),
Slavik Jablan (Jugoslavia),
Vladimir Koptsik (Russia),
Joan Lasenby (UK),
Yanxi Liu (USA),
Guerino Mazzola (Switzerland),
Denes Nagy (Japan),
Thomas Noll (Germany),
Frank Park (Korea),
Jean Petitot (France),
Vladimir Petrov (Russia),
Robin Popplestone (USA),
Robert Rosen (Canada),
Charles Schmidt (USA),
Barry Smith (USA),
George Stiny (USA),
Alexander Voloshinov (Russia),
Dorothy Washburn (USA),
Robert Wechsler (Germany).
Group theory
in:
Robotics, Problem-Solving,
Planning, Learning, Language, Perception, Art, Design, Engineering,
Manufacturing, Epistemology, Measurement, Computation, Neuroscience,
Anthropology, Semiotics.
Group Theory
has emerged as a powerful tool for analyzing cognitive structure.
The number of cognitive disciplines using group theory is now
enormous. The power of group theory lies in its ability to identify
organization, and to express organization in terms of generative
actions that structure a space. The International Society for
Group Theory in Cognitive Science is an academic organization
devoted to the dissemination of significant group-theoretic research
in all the areas of Cognitive Science.
The society
has a number of divisions, covering different research areas.
These include:
Division
of Mathematical Robotics
Division of Perception and Computer Vision
Division of Neuroscience
Division of Mathematical and Computational Aesthetics
Division of Engineering and Manufacturing
INTERNATIONAL
SOCIETY FOR MATHEMATICAL AND COMPUTATIONAL AESTHETICS
The Division
of Mathematical and Computational Aesthetics is simultaneously
an independent society called the International Society for Mathematical
and Computational Aesthetics. Although its board is drawn from
members of the above board who are working on mathematical and
computational aesthetics, it also has additional members who
use other branches of mathematics besides group theory on the
analysis of aesthetics. You can obtain information on this by
clicking:
http://www.rci.rutgers.edu/~mleyton/ISMA.htm
ARCHIVE
The society maintains
a large archive of papers and books on the use of group theory
in cognitive science. It is our goal to make this
archive as complete as possible. If you are working in
the area of group-theoretic cognitive science, or know of papers
in this area, please inform us. These will be entered into the
society archive. Furthermore, since most future papers
will be written in formats accessible by the web, we can advertise
your papers through the society web-pages and make them accessible
through our site. We are currently engaged in putting together
an extensive handbook of group theory in cognitive science, as
well as a book series and journal.
BOOKS
ON GROUP-THEORETIC COGNITIVE SCIENCE
We are currently
mounting descriptions of the major books on group-theoretic cognitive
science. Please check back here for this.
SOCIETY
EDUCATIONAL SERVICES
The society is
putting together a number of web tutorials and links on various
branches of mathematics relevant to group-theoretic cognitive
science.
FORMAL
MODELS IN COGNITION
The following
site is an entire book on the web, on finite state machines,
regular expressions, etc., which gives extensive mathematical
discussion together with many animations. It was created
by board-member Chuck Schmidt:
http://www-rci.rutgers.edu/~cfs/472_html/home472.html
LIE GROUPS
- QUANTUM MECHANICS
The following
is a lengthy physics-based book on Lie groups that can be downloaded
from the internet. It is written by board-member Bill Hammel:
http://graham.main.nc.us/~bhammel/FCCR/fccr.html
Please check
back here for additional tutorials as they appear.
If you wish to find out
more about this society, please contact: Professor
Michael Leyton, Center for Discrete Mathematics & Theoretical
Computer Science (DIMACS), Rutgers University: mleyton@dimacs.rutgers.edu
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Group | theory | in: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Robotics, | Problem-Solving, | Planning, | Learning, | Language, | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Perception, | Art, | Design, | Engineering, | Manufacturing, |
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http://www.rci.rutgers.edu/~mleyton/GT.htm
International Society for Group Theory in Cognitive Science 2008 November
dvd rental
dvd
Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing,
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