Ordinary and graded cocharacter of the Jordan algebra of 2x2 upper triangular matrices

Fabrizio Martino, Alessio Cirrito

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5 Citazioni (Scopus)

Abstract

Let F be a field of characteristic zero and UJ_2(F) be the Jordan algebra of 2x2 upper triangular matrices over F. In this paper we give a complete description of the space of multilinear graded and ordinary identities in the language of Young diagrams through the representation theory of a Young subgroup of S_n. For every Z_2-grading of UJ_2(F) we compute the multiplicities in the graded cocharacter sequence and furthermore we compute the ordinary cocharacter.
Lingua originaleEnglish
pagine (da-a)246-259
Numero di pagine14
RivistaLinear Algebra and Its Applications
Volume451
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2612???
  • ???subjectarea.asjc.2600.2608???
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