Irreducible identities of -algebras.
Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture.
Irreducible representations of quantum matrices.
Irreducible tensor representations of general linear Lie superalgebras
We present a description of irreducible tensor representations of general linear Lie superalgebras in terms of generalized determinants in the symmetric and exterior superalgebras of a superspace over a field of characteristic zero.
Isogroups and isosubgroups.
The main goal of this paper is to give a mathematical foundation, serious and consistent, to some parts of Santilli?s isotheory. We study the isotopic liftings of groups and subgroups and we also deal with the differences between an isosubgroup and a subgroup of an isogroup. Finally, some links between this isotheory and the standard groups theory, referred to representation and equivalence relations among groups are shown.
Isometries of JB-algebras.
Isomorphisms and derivations in Lie -algebras.
Isomorphisms and generalized derivations in proper -algebras.
Isomorphisms and Ideals of the Lie Algebras of Vector Fields.
Isomorphisms of Jordan-Banach algebras.
Isomorphisms of Lie algebras of vector fields
Isomorphisms of Poisson and Jacobi brackets
We present a general theorem describing the isomorphisms of the local Lie algebra structures on the spaces of smooth (real-analytic or holomorphic) functions on smooth (resp. real-analytic, Stein) manifolds, as, for example, those given by Poisson or contact structures. We admit degenerate structures as well, which seems to be new in the literature.
Isoparametric triple systems of FKM-Type II.
Itô calculus and quantisation of Lie bialgebras
Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional real Lie algebras. The Jacobi operators of these quantum algebras are explicitly calculated.
Jacobson's theorem for alternative rings
JB algebras with an exceptional ideal.
JB*-triples have Pelczynski's Property V.
Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras [Book]
Jordan algebras and Capelli identities.