Author

En-Han Zhao

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Preprint Sep 2026

Generic Nullity of Generalized Commutators

We study the generic nullity of generalized commutator operators \[L_{\mathbf{A}}(X)=s_{k+1}(A_1,\cdots,A_k,X)\] on matrix algebras, where $s_{k+1}$ denotes the standard polynomial. Dixon and Pressman conjectured an explicit formula for the generic nullity of $L_{\mathbf{A}}$, and Brassil and Reichstein proved the conj...

Chen Lin, Chen-Hao Tang, En-Han Zhao · 0 citations