A finite totally nonnegative Grassmannian
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914115612573696 |
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| author | Machacek, John |
| author_facet | Machacek, John |
| contents | We introduce totally nonnegative Grassmannians over finite fields where an element of a finite field is nonnegative if it is a square of an element of the finite field. Explicit point counts are given in some special cases where we find new interpretations of sequences in the On-Line Encyclopedia of Integer Sequences (OEIS). We compare and contrast the theory of totally nonnegative Grassmannians over a finite field with the traditional case of the field of real numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06177 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A finite totally nonnegative Grassmannian Machacek, John Combinatorics 14M15, 05A15, 05E14, 14G15 We introduce totally nonnegative Grassmannians over finite fields where an element of a finite field is nonnegative if it is a square of an element of the finite field. Explicit point counts are given in some special cases where we find new interpretations of sequences in the On-Line Encyclopedia of Integer Sequences (OEIS). We compare and contrast the theory of totally nonnegative Grassmannians over a finite field with the traditional case of the field of real numbers. |
| title | A finite totally nonnegative Grassmannian |
| topic | Combinatorics 14M15, 05A15, 05E14, 14G15 |
| url | https://arxiv.org/abs/2410.06177 |