# plusepsilon.de

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bio website plusepsilon.de location Uni Hamburg age 29 member for 3 years, 10 months seen Sep 9 at 8:51 profile views 8,241

Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de

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 Jul19 answered Discrete-compact duality for nonabelian groups Jul17 comment What is the relationship amongst all the different kinds of spectra? The spectrum of a unital commutative $C^*$ algebra $A$ is defined such that $Hom_{top}(Spec(A), \mathbb{C}) = A$, the same holds for the spectra in homotopy theory with different hom. So I always understand this as a question about representable functors. Does this make sense? Jul16 comment Sigma Algebra that is not a topology @Joel: Interesting, I edited the answer. Jul14 accepted To what extent do we know the representations of GL(2,Zp) Jul14 comment generalisation of GL(3,R) polar decomposition @Carnahan: It is sometimes called polar decomposition, since $PSL_2(\mathbb{R}) / PSO(2)$ is the upper halfplane $H$, and the above decompositions give you the elements of $H$ in polar coordinates, but you are right in general. Jul14 comment generalisation of GL(3,R) polar decomposition I just wanted to comment that on both sides $SO_K(3)$ works and I presumably thought you might had a typo in the question=) Jul13 comment generalisation of GL(3,R) polar decomposition @em12: Btw, are sure it holds for $GL(2)$? Jul13 comment generalisation of GL(3,R) polar decomposition I mean just use $\sqrt{K} m \sqrt{K}^{-1}$ and using the result for $SO(3)$. If $K$ has negative eigenvalues, this strategy does not apply, since there is a problem with $\sqrt{K}$. Jul13 comment generalisation of GL(3,R) polar decomposition @Spice, I wanted to say, if $K$ induces a scalar product on $\mathbb{R}^3$, the decomposition result is the same, since all scalar products are the same, since there exists $\sqrt{K}$. Then every matrix $m$ in $End(\mathbb{R}^3)$ can be given as $m=o d o'$ for $d$ diagonal and $o,o'\in SO_K(3)$. Jul13 comment generalisation of GL(3,R) polar decomposition psoitive definite symmetric matrix and $SO_K$ on both sides, than I'd say yes. Jul13 comment To what extent do we know the representations of GL(2,Zp) Yes since all irreducible complex representation of $GL(2, o)$ factor through the finite group $GL(2,o/n)$ for some ideal $n$. Then using $Ind_B^G Ind_1^B 1 = Ind_1^G 1$ gives all irreducible representations. Jul13 revised To what extent do we know the representations of GL(2,Zp) added 18 characters in body Jul13 revised To what extent do we know the representations of GL(2,Zp) added 8 characters in body Jul13 asked To what extent do we know the representations of GL(2,Zp) Jul12 revised Sigma Algebra that is not a topology deleted 62 characters in body Jul12 comment Sigma Algebra that is not a topology How to render the brackets correctly? Jul12 answered Sigma Algebra that is not a topology Jul11 revised Does random matrix theory make any prediction for the eigenvalue distributions of compact Riemann surfaces? added 79 characters in body Jul11 comment Does random matrix theory make any prediction for the eigenvalue distributions of compact Riemann surfaces? Thanks a lot for the short summary and the reference. Jul11 accepted Does random matrix theory make any prediction for the eigenvalue distributions of compact Riemann surfaces?