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3 exercise(s) shown, 0 hidden
Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Write down a complete, simplified proof for the factorization

[[math]] \xymatrix{C(S_{NM}^+)\ar[rr]^{\pi_L}\ar[rd]&&M_{NM}(\mathbb C)\\&C(S_M^+\wr_*G_H)\ar[ur]&} [[/math]]

found in the previous chapter, for [math]L=H\otimes_QK[/math], in the scalar matrix case.

Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Work out the combinatorial details of the computation for deformed Fourier models with formal parameters, outlined in the proof of Theorem 16.25.

Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Do some computations for the deformations of [math]F_4[/math], at non generic values of the parameter, and write down what you found.