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- W205098194 abstract "BRIAN ADAM PIKE: Singular Milnor Numbers of Non-Isolated Matrix Singularities (Under the direction of Professor James Damon) In this dissertation we obtain formulas to describe the local topology of certain non-isolated matrix singularities. We find free divisors in various vector spaces of matrices which include the hypersurface of singular matrices as a component, and use these to express the singular Milnor numbers of matrix singularities in terms of the codimensions of groups of equivalences. On the spaces of symmetric and all n× n matrices, these free divisors arise through representations of finite dimensional solvable Lie groups; on the space of skew-symmetric matrices, we extend a finite-dimensional representation of a solvable Lie algebra to an infinite-dimensional one." @default.
- W205098194 created "2016-06-24" @default.
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- W205098194 date "2010-08-01" @default.
- W205098194 modified "2023-09-24" @default.
- W205098194 title "Singular milnor numbers of non-isolated matrix singularities" @default.
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