Publications (4)0 Total impact
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Article: The centroid of extended affine and root graded Lie algebras
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ABSTRACT: We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.Journal of Pure and Applied Algebra. -
Article: Polynomial Identities and Nonidentities of Split Jordan Pairs
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ABSTRACT: We show that split Jordan pairs over rings without 2-torsion can be distinguished by polynomial identities with integer coefficients. In particular, this holds for simple finite-dimensional Jordan pairs over algebraically closed fields of characteristic not 2. We also generalize results of Drensky and Racine and of Rached and Racine on polynomial identities of, respectively, Jordan algebras and Jordan triple systems.Journal of Algebra. -
Article: Quadratic Jordan superpairs covered by grids
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ABSTRACT: In this paper we are proposing a theory of Jordan superpairs defined over (super)commutative superrings. Our framework has two novelties: we allow scalars of even and odd parity and we do not assume that lies in our base superring. To demonstrate that it is possible to work in this generality we classify Jordan superpairs covered by a grid.Journal of Algebra. -
Article: Semiprime, prime and simple Jordan superpairs covered by grids
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ABSTRACT: In this paper we continue the investigation of Jordan superpairs covered by a grid which have recently been described by the second author [E. Neher, J. Algebra 269 (2003) 28–73]. For such a Jordan superpair we characterize semiprimeness, primeness and simplicity in terms of its associated supercoordinate system.Journal of Algebra.
