Abstract
In this section we introduce the restriction and induction functors, which are used extensively in group representations and cohomology. The functors are related to the tensor product operation through the Frobenius Reciprocity Theorem. One consequence of Frobenius reciprocity is the fact that the tensor product of any module with a projective module is again a projective module. This result is extremely important for the homological algebra.
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© 1996 Birkhäuser Verlag
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Carlson, J.F. (1996). Restriction and induction. In: Modules and Algebras. Lectures in Mathematics ETH Zürich. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9189-9_3
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DOI: https://doi.org/10.1007/978-3-0348-9189-9_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-5389-6
Online ISBN: 978-3-0348-9189-9
eBook Packages: Springer Book Archive