The height of an infinite parallelotope is infinite
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912198506315776 |
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| author | Kosyak, Alexandre |
| author_facet | Kosyak, Alexandre |
| contents | We show that $\frac{Γ(f_0,f_1,\dots,f_m)} {Γ(f_1,\dots,f_m)}=\infty$ for $m+1$ vectors having the properties that no non-trivial linear combination of them belongs to $l_2(\mathbb N)$. This property is essential in the proof of the irreducibility of unitary representations of some infinite-dimensional groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13556 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The height of an infinite parallelotope is infinite Kosyak, Alexandre Group Theory Representation Theory 22E65 (5, 15, 26, 40) We show that $\frac{Γ(f_0,f_1,\dots,f_m)} {Γ(f_1,\dots,f_m)}=\infty$ for $m+1$ vectors having the properties that no non-trivial linear combination of them belongs to $l_2(\mathbb N)$. This property is essential in the proof of the irreducibility of unitary representations of some infinite-dimensional groups. |
| title | The height of an infinite parallelotope is infinite |
| topic | Group Theory Representation Theory 22E65 (5, 15, 26, 40) |
| url | https://arxiv.org/abs/2308.13556 |