Recently I asked a question on MO about some computations I’d done with Catalan numbers awhile ago on this blog, and Scott Morrison gave a beautiful answer explaining them in terms of quantum groups. Now, I don’t exactly know how quantum groups work, but along the way he described a useful connection between walks on [...]
Posts Tagged ‘Chebyshev polynomials’
Walks on graphs and tensor products
Posted in algebraic combinatorics, graph theory, representation theory, Uncategorized, tagged Catalan numbers, Chebyshev polynomials, Fourier transforms, Lie groups, representation theory of the symmetric group, walks on graphs on March 7, 2010 | 2 Comments »
IMO 2009 and proof systems
Posted in abstract algebra, number theory, Putnam / competitions, remarks, tagged Chebyshev polynomials, equivalence relations, Galois theory, Grobner bases, pedagogy, philosophy of mathematics, trigonometry on July 17, 2009 | 3 Comments »
The problems from IMO 2009 are now available. I haven’t had much time to work on them, though. There are two classical geometry problems, which I already know I won’t attempt. While I am well aware that classical geometry often requires a great deal of ingenuity, I am also aware of the existence of the [...]
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