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I am reading "Introduction to Ring Theory" by P. M. Cohn (Springer Undergraduate Mathematics Series)
In Chapter 2: Linear Algebras and Artinian Rings we read the following on page 57:
https://www.physicsforums.com/attachments/3149I am trying to gain an understanding of representations. I would welcome a simple example of representations of algebras as this would help a great deal …Further, Exercise 2.1 (4) reads as follows:
"Verify that the regular representation (2.10 - see above text) is a homomorphism of $$A$$ as a right $$A$$-module.
How is the matrix $$( \rho_{ij} (a) )$$ affected by a change of basis?Can someone please help me get started on this problem?Peter
In Chapter 2: Linear Algebras and Artinian Rings we read the following on page 57:
https://www.physicsforums.com/attachments/3149I am trying to gain an understanding of representations. I would welcome a simple example of representations of algebras as this would help a great deal …Further, Exercise 2.1 (4) reads as follows:
"Verify that the regular representation (2.10 - see above text) is a homomorphism of $$A$$ as a right $$A$$-module.
How is the matrix $$( \rho_{ij} (a) )$$ affected by a change of basis?Can someone please help me get started on this problem?Peter
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