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Isomorphic classification of the tensor products E ( e x p α i ) ̂ E ( e x p β j )

Peter ChalovVyacheslav Zakharyuta — 2011

Studia Mathematica

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

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