ON THE EXPONENTIAL GROWTHOF GRADED CAPELLI POLYNOMIALS

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Abstract

In a free superalgebra over a field of characteristic zero we consider thegraded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternatingon M+1 even variables and L+1 odd variables, respectively. Here we computethe superexponent of the variety of superalgebras determinated byCapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computationis the generalized-six-square theorem proved in [3]
Original languageEnglish
Pages (from-to)51-65
Number of pages15
JournalIsrael Journal of Mathematics
Volume196
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • General Mathematics

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