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What is…a character table?
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Goal.
Explaining basic concepts of representation theory in an intuitive way.
This time.
What is…a character table? Or: The gist of the matter!?
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Representation theory is a vast field, and a representation could be of a group, an associative algebra, a Lie algebra etc., and these even in flavors. These subfields are similar, but then also different in nature. So to be precise, this video series is mostly about finite dimensional representations of finite groups and monoids.
Slides.
Website with exercises.
Representation theory.
Representation.
Character table.
G := Alt(4);
CT := CharacterTable(G);
CT;
Characters of finite groups.
A bit of history.
Pictures used.
Picture from Frobenius’ paper/book “Über Gruppencharaktere”
Some books I am using (I sometimes steal some pictures from there).
Mathematica.
Magma.
SageMath.
#representationtheory
#algebra
#mathematics
Explaining basic concepts of representation theory in an intuitive way.
This time.
What is…a character table? Or: The gist of the matter!?
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Representation theory is a vast field, and a representation could be of a group, an associative algebra, a Lie algebra etc., and these even in flavors. These subfields are similar, but then also different in nature. So to be precise, this video series is mostly about finite dimensional representations of finite groups and monoids.
Slides.
Website with exercises.
Representation theory.
Representation.
Character table.
G := Alt(4);
CT := CharacterTable(G);
CT;
Characters of finite groups.
A bit of history.
Pictures used.
Picture from Frobenius’ paper/book “Über Gruppencharaktere”
Some books I am using (I sometimes steal some pictures from there).
Mathematica.
Magma.
SageMath.
#representationtheory
#algebra
#mathematics
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