Results 11 to 20 of about 1,540,375 (236)
2-Graded polynomial identities for the Jordan algebra of the symmetric matrices of order two [PDF]
, 2011 The Jordan algebra of the symmetric matrices of order two over a field K has two natural gradings by Z 2 , the cyclic group of order 2. We describe the graded polynomial identities for these two gradings when the base field is infinite and of ...
P. Koshlukov, D. D. S. E. Silva
semanticscholar +2 more sources
Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
doaj +2 more sources
Jordan trialgebras and post-Jordan algebras [PDF]
Journal of Algebra, 2017 We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. pre-Jordan product) in every triassociative (resp. tridendriform) algebra.
Bagherzadeh, F. +2 more
openaire +6 more sources
The Jordan Algebras of a Lie Algebra [PDF]
, 2007 We attach a Jordan algebra L x to any ad-nilpotent element x of index of nilpotence at most 3 in a Lie algebra L. This Jordan algebra has a behavior similar to that of the local algebra of a Jordan system at an element. Thus, L x inherits nice properties
A. López, E. García, M. Lozano
semanticscholar +2 more sources
The radical of a jordan algebra. [PDF]
Proceedings of the National Academy of Sciences, 1969 In this paper we define a Jacobson radical for Jordan algebras analogous to that for associative algebras and show that it enjoys many of the properties of the associative radical. We then relate the corresponding notion of “semisimplicity” to the previously defined notion of “nondegeneracy” (Jacobson, N., these
K. Mccrimmon
semanticscholar +4 more sources
Jordan–Lie Super Algebra and Jordan–Lie Triple System [PDF]
, 1997 We introduce notions of Jordan–Lie super algebras and Jordan–Lie triple systems as well as doubly graded Lie-super algebras. They are intimately related to both Lie and Jordan super algebras as well as antiassociative algebra.
S. Okubo, N. Kamiya
semanticscholar +2 more sources
Cohomological invariants of odd degree Jordan algebras [PDF]
, 2008 In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3.
MacDonald, Mark
core +4 more sources
CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS [PDF]
Journal of Algebraic Systems, 2023 In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is ...
Arindam Ghosh, Om Prakash
doaj +1 more source
Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials
, 2021 For an arbitrary representation ρ of a complex finite-dimensional Lie algebra, we construct a collection of numbers that we call the Jordan-Kronecker invariants of ρ.
Ivan Kozlov (6246884) +2 more
core +7 more sources