On Tue, Apr 23, 2013 at 7:56 PM, Tyler Hannan <than...@u.rochester.edu>wrote:
> Actually, the Peter-Weyl Theorem is a generalization of the Pontryagin > duality, and by extending the definition of the homomorphisms from the > circle group to generalized unitary matricies asserts the existence of an > algebraic dual group even if the group is not necessarily abelian. I > referenced this in It sounds to me like you are asserting that the set of irreducible characters of a non-abelian group is a group. Is that correct? > a paper last year for defining a non-abelian Fourier transform to solve > the hidden subgroup problem. To quote wikipedia: "In > mathematics<http://en.wikipedia.org/wiki/Mathematics>, > the *Peter–Weyl theorem* is a basic result in the theory of harmonic > analysis <http://en.wikipedia.org/wiki/Harmonic_analysis>, applying to > topological > groups <http://en.wikipedia.org/wiki/Topological_group> that are > compact<http://en.wikipedia.org/wiki/Compact_group>, > but are not necessarily abelian." > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at http://groups.google.com/group/sympy?hl=en-US. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
