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Béla Fürdőház
Béla Fürdőház
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Can a (finite dimenaional) algebra$\mathbb{K}$-algebra $A$ be equipped with more than one Frobenius structure $\lambda:A \to \mathbb{K}$? Of course we identify two structures $\lambda$ and $\lambda'$ if they differ by a scalar multiple.

If it can what is a good example? If we restrict to filtered Frobenius algebras can this help with uniqueness?

Can a (finite dimenaional) algebra $A$ be equipped with more than one Frobenius structure? If it can what is a good example? If we restrict to filtered Frobenius algebras can this help with uniqueness?

Can a (finite dimenaional) $\mathbb{K}$-algebra $A$ be equipped with more than one Frobenius structure $\lambda:A \to \mathbb{K}$? Of course we identify two structures $\lambda$ and $\lambda'$ if they differ by a scalar multiple.

If it can what is a good example? If we restrict to filtered Frobenius algebras can this help with uniqueness?

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Béla Fürdőház
Béla Fürdőház
  • 157
  • 8

An algebra with more than one Frobenius algebra structure

Can a (finite dimenaional) algebra $A$ be equipped with more than one Frobenius structure? If it can what is a good example? If we restrict to filtered Frobenius algebras can this help with uniqueness?