Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$

Peter Chalov; Vyacheslav Zakharyuta

Isomorphic classification of the tensor products

E ₀ (e x p α i) \otimes ̂ E_{\infty} (e x p β j)

Peter Chalov ; Vyacheslav Zakharyuta

Studia Mathematica, Tome 204 (2011), p. 275-282 / Harvested from The Polish Digital Mathematics Library

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Résumé

It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces $E ₀ (e x p α i) \otimes ̂ E_{\infty} (e x p β j)$ and $E ₀ (e x p α ̃ i) \otimes ̂ E_{\infty} (e x p β ̃ j)$ . This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].

Publié le : 2011-01-01

Zbl 1227.46007

EUDML-ID : urn:eudml:doc:285489

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Peter Chalov; Vyacheslav Zakharyuta. Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$
            . Studia Mathematica, Tome 204 (2011) pp. 275-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm204-3-6/