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math.GR2012★ 6 cited
About Goto's method showing surjectivity of word maps
Abdelrhman Elkasapy, Andreas Thom
Let F be the free group on two letters. For ω \in F we study the associated word map ω: SU(n) \times SU(n) \rightarrow SU(n). Extending a method of Goto, we show that for ω not in…
math.AG2012
Hyperbolic Polynomials and Generalized Clifford Algebras
Tim Netzer, Andreas Thom
We consider the problem of realizing hyperbolicity cones as spectrahedra, i.e. as linear slices of cones of positive semidefinite matrices. The generalized Lax conjecture states th…