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arXiv · 2308.13556

The height of an infinite parallelotope is infinite

Alexandre Kosyak
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Abstract

We show that $\frac{\Gamma(f_0,f_1,\dots,f_m)} {\Gamma(f_1,\dots,f_m)}=\infty$ 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.

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Alexandre Kosyak. 2023-08-24. The height of an infinite parallelotope is infinite. https://doi.org/10.1016/j.laa.2025.01.011

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