01/22/2021, 12:03 AM
Ah I see...
you didn't mean that multiplication is not a bilinear map, we can represent only the translations...
you mean representable in the sense of a morphism from the Algebra multiplication to a \( M_{n\times n}(k) \) or to a GL(n), e.g. like a group representation, where we study characters and so on...
In fact how can we "represent" non associative operations?
Sorry but I'm not very fluent with this yet..
you didn't mean that multiplication is not a bilinear map, we can represent only the translations...
you mean representable in the sense of a morphism from the Algebra multiplication to a \( M_{n\times n}(k) \) or to a GL(n), e.g. like a group representation, where we study characters and so on...
In fact how can we "represent" non associative operations?
Sorry but I'm not very fluent with this yet..
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)