THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
<br /> <br /> <br /> <br /> <br /> Let K be an algebraically closed field and A be a basic, connected, finite dimensional K-algebra. By using a bound quiver (Q,I) associated to A, in this work we explain how any A-module M can be visualised as a K-linear representat...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/15092 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | <br />
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Let K be an algebraically closed field and A be a basic, connected, finite dimensional K-algebra. By using a bound quiver (Q,I) associated to A, in this work we explain how any A-module M can be visualised as a K-linear representation of (Q,I), which is, a family of K-vector space Ma, for any point a in Q, connected by K-linear maps rho alpha : Ma -> Mb corresponding to arrows alpha : a -> b di Q, and satisfying some relations induced by I. |
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