What is...representation theory? скачать в хорошем качестве

What is...representation theory?

Goal. Explaining basic concepts of representation theory in an intuitive way. This time. What is...representation theory? Or: Lets make life linear! 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. http://www.dtubbenhauer.com/youtube.html Website with exercises. http://www.dtubbenhauer.com/lecture-r... Representation theory. https://en.wikipedia.org/wiki/Represe... https://www.quantamagazine.org/the-us... https://nlab-pages.s3.us-east-2.amazo... https://www.maths.usyd.edu.au/u/geord... Applications of representation theory. https://yetanothermathblog.com/2016/0... https://mathoverflow.net/questions/11... https://math.stackexchange.com/questi... https://math.stackexchange.com/questi... https://math.stackexchange.com/questi... https://www.gatsby.ucl.ac.uk/~risi/co... Pictures used. https://en.wikipedia.org/wiki/Tangent... Picture from    • What is...a group?   Picture from https://www.dtubbenhauer.com/Talk-ETH... Picture from https://www.gutenberg.org/files/40395... Picture from https://people.math.rochester.edu/fac... https://chem.libretexts.org/Courses/U... Some books I am using (I sometimes steal some pictures from there). https://link.springer.com/book/10.100... https://users.metu.edu.tr/sozkap/513-... https://link.springer.com/book/10.100... https://math.mit.edu/~etingof/replect... https://link.springer.com/book/10.100... https://link.springer.com/book/10.100... https://www.cambridge.org/core/books/... https://link.springer.com/book/10.100... Mathematica. https://arxiv.org/abs/1912.10969 (Mostly for representations of Lie groups and algebras) Magma. https://magma.maths.usyd.edu.au/magma... http://magma.maths.usyd.edu.au/calc/ SageMath. https://doc.sagemath.org/html/en/cons... https://sagecell.sagemath.org/ #representationtheory #algebra #mathematics