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Keywords:
classical groups; vector spaces and linear maps; involutions; factorization of a linear map into a product of simple ones
classical groups; vector spaces and linear maps; involutions; factorization of a linear map into a product of simple ones
Summary:
We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.
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