GENERIC JORDAN TYPE OF THE SYMMETRIC AND EXTERIOR POWERS-Reference-Cited by-同舟云学术

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GENERIC JORDAN TYPE OF THE SYMMETRIC AND EXTERIOR POWERS

Published:2014-02-25 Issue:05 Volume:13 Page:1350163
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BENSON DAVID J.¹,LIM KAY JIN²

Affiliation:

1. Institute of Mathematics, University of Aberdeen, King's College, Fraser Noble Building, Aberdeen, AB24 3UE, UK

2. Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076, Singapore

Abstract

We prove a result relating the stable generic Jordan types of the symmetric and exterior powers of the Heller translations of a module for a finite elementary abelian p-group. In the case of the trivial module, the stable generic Jordan types of the symmetric and exterior powers of its Heller translations are completely described.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501636

Reference6 articles.

1. Cambridge Studies in Advanced Mathematics;Benson D. J.,1990

2. Cambridge Studies in Advanced Mathematics;Benson D. J.,1990

3. Generic and maximal Jordan types

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1. On the symmetric and exterior powers of Young permutation modules;Journal of Algebra;2021-02

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