publication . Article . 2006

THE AMITSUR–LEVITZKI THEOREM FOR THE ORTHOSYMPLECTIC LIE SUPERALGEBRA osp(1, 2n)

Gie , Pierre-Alexandre; Pinczon , Georges; Ushirobira , Rosane;
Open Access English
  • Published: 01 Jan 2006
  • Publisher: HAL CCSD
Abstract
http://www.worldscinet.com/jaa/05/0503/S0219498806001740.html; International audience; Based on Kostant's cohomological interpretation of the Amitsur–Levitzki theorem, we prove a super version of this theorem for the Lie superalgebras osp(1, 2n). We conjecture that no other classical Lie superalgebra can satisfy an Amitsur–Levitzki type super identity. We show several (super) identities for the standard super polynomials. Finally, a combinatorial conjecture on the standard skew supersymmetric polynomials is stated.
Subjects
arXiv: Mathematics::Rings and AlgebrasMathematics::Representation TheoryMathematics::Quantum Algebra
free text keywords: [ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
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publication . Article . 2006

THE AMITSUR–LEVITZKI THEOREM FOR THE ORTHOSYMPLECTIC LIE SUPERALGEBRA osp(1, 2n)

Gie , Pierre-Alexandre; Pinczon , Georges; Ushirobira , Rosane;