ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS

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Abstract

In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternating on M+1 even variables and L+1 odd variables, respectively. Here we compute the superexponent of the variety of superalgebras determinated by CapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3]
Lingua originaleEnglish
pagine (da-a)51-65
Numero di pagine15
RivistaIsrael Journal of Mathematics
Volume196
Stato di pubblicazionePublished - 2013

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Superalgebra
Polynomial
Odd
Zero
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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title = "ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS",
abstract = "In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternating on M+1 even variables and L+1 odd variables, respectively. Here we compute the superexponent of the variety of superalgebras determinated by CapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3]",
keywords = "algebras with pilynomial identities, noncommutative invariant theory, asymptotic equivalence",
author = "Benanti, {Francesca Saviella}",
year = "2013",
language = "English",
volume = "196",
pages = "51--65",
journal = "Israel Journal of Mathematics",
issn = "0021-2172",
publisher = "Springer New York",

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T1 - ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS

AU - Benanti, Francesca Saviella

PY - 2013

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N2 - In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternating on M+1 even variables and L+1 odd variables, respectively. Here we compute the superexponent of the variety of superalgebras determinated by CapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3]

AB - In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternating on M+1 even variables and L+1 odd variables, respectively. Here we compute the superexponent of the variety of superalgebras determinated by CapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3]

KW - algebras with pilynomial identities, noncommutative invariant theory, asymptotic equivalence

UR - http://hdl.handle.net/10447/66230

UR - http://link.springer.com/article/10.1007%2Fs11856-012-0143-8

M3 - Article

VL - 196

SP - 51

EP - 65

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

SN - 0021-2172

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