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Recurrence relations in a modular representation algebra

Published online by Cambridge University Press:  17 April 2009

J-C. Renaud
J-C. Renaud
Affiliation:
Department of Mathematics, University of Papua New Guinea, PO Box 320, University, Port Moresby, Papua New Guinea.
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Abstract

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In 1978 Almkvist and Fossum examined the decomposition of the exterior powers of basis modules in the modular representation algebra of a cyclic group of prime order. In particular they developed an isomorphism between these exterior powers and terms of binomial coefficient type in the algebra.

We derive several recurrence relations for these terms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 2 , October 1982 , pp. 215 - 219
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Almkvist, Gert and Fossum, Robert, “Decomposition of exterior and symmetric powers of indecomposable modules in characteristic p and relations to invariants”, Séminaire d'Algèbre Paul Dubreil, 1–111 (Proceedings, Paris 1976–1977. Lecture Notesin Mathematics, 641. Springer-Verlag, Berlin, Heidelberg, New York, 1978).Google Scholar
[2]Renaud, J.-C., “The decomposition of productsin the modular representation ring of a cyclicgroup of prime power order“, J. Algebra 58 (1979), 1–11.CrossRefGoogle Scholar