A topological property of polynomial functions on \(\text{GL}(2, \mathbb {R})\) (Q2369846)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topological property of polynomial functions on \(\text{GL}(2, \mathbb {R})\) |
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A topological property of polynomial functions on \(\text{GL}(2, \mathbb {R})\) (English)
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21 June 2007
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A function on a group is called polynomial if it can be written as product of constants, the identity and inversion. For the group \(\text{GL}(2,\mathbb{R})\) a necessary topological condition is provided (Theorem 2) for such a function to be polynomial. Transpositions on that group are, consequently, not polynomial (Corollary 3).
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polynomial functions
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linear groups
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homotopy class groups
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