Generic Jordan type of the symmetric and exterior powers

David J Benson, Kay Jin Lim

Research output: Contribution to journalArticle

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.
Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498813501636
Original languageEnglish
Article number1350163
Pages (from-to)1-8
Number of pages8
JournalJournal of Algebra and its Applications
Volume13
Issue number5
Early online date6 Dec 2013
DOIs
Publication statusPublished - Aug 2014

Fingerprint

Module
P-groups
Trivial

Keywords

  • modular representation theory
  • constant Jordan type
  • generic Jordan type
  • symmetric power
  • exterior power

Cite this

Generic Jordan type of the symmetric and exterior powers. / Benson, David J; Lim, Kay Jin.

In: Journal of Algebra and its Applications, Vol. 13, No. 5, 1350163, 08.2014, p. 1-8.

Research output: Contribution to journalArticle

Benson, David J ; Lim, Kay Jin. / Generic Jordan type of the symmetric and exterior powers. In: Journal of Algebra and its Applications. 2014 ; Vol. 13, No. 5. pp. 1-8.
@article{73d4fb57a9714a73878a20d4e38fe73e,
title = "Generic Jordan type of the symmetric and exterior powers",
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.Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498813501636",
keywords = "modular representation theory, constant Jordan type, generic Jordan type, symmetric power, exterior power",
author = "Benson, {David J} and Lim, {Kay Jin}",
year = "2014",
month = "8",
doi = "10.1142/S0219498813501636",
language = "English",
volume = "13",
pages = "1--8",
journal = "Journal of Algebra and its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

TY - JOUR

T1 - Generic Jordan type of the symmetric and exterior powers

AU - Benson, David J

AU - Lim, Kay Jin

PY - 2014/8

Y1 - 2014/8

N2 - 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.Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498813501636

AB - 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.Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219498813501636

KW - modular representation theory

KW - constant Jordan type

KW - generic Jordan type

KW - symmetric power

KW - exterior power

U2 - 10.1142/S0219498813501636

DO - 10.1142/S0219498813501636

M3 - Article

VL - 13

SP - 1

EP - 8

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

IS - 5

M1 - 1350163

ER -