Sophus Lie a harmonie v matematické fyzice (k 150. výročí narození)
Spacelike singularities and hidden symmetries of gravity.
Special and Pure Gradings of Lie Algebras.
Specializations of Jordan superalgebras.
We construct universal associative enveloping algebras for a large class of Jordan superalgebras.
Spectral sequences for commutative Lie algebras
We construct some spectral sequences as tools for computing commutative cohomology of commutative Lie algebras in characteristic . In a first part, we focus on a Hochschild-Serre-type spectral sequence, while in a second part we obtain spectral sequences which compare Chevalley-Eilenberg-, commutative- and Leibniz cohomology. These methods are illustrated by a few computations.
Spectral theory for facially homogenous symmetric self-dual cones.
Spectrum for a solvable Lie algebra of operators
A new concept of spectrum for a solvable Lie algebra of operators is introduced, extending the Taylor spectrum for commuting tuples. This spectrum has the projection property on any Lie subalgebra and, for algebras of compact operators, it may be computed by means of a variant of the classical Ringrose theorem.
Spectrum of the quantized Weyl algebra. (Spectre de l'algèbre de Weyl quantique.)
Spectrum preserving linear mappings in Banach algebras
Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Spherical functions on a complex classical quantum group
Spherical functions on a family of quantum 3-spheres
Spin chain connected to the quantum superalgebra .
Spin groups over a commutative ring and the associated root data (odd rank case).
Split faces and ideal structure of operator algebras.
Springer Forms and the First Tits Construction of Exceptional Jordan Division Algebras.
Square integrability of group representations on homogeneous spaces and generalized coherent states
Square subgroups of rank two abelian groups
Let G be an abelian group and ◻ G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group G of rank two is a pure subgroup of G and that G/◻ G is a nil group.
Squared Hopf algebras and reconstruction theorems
Given an abelian 𝑉-linear rigid monoidal category 𝑉, where 𝑉 is a perfect field, we define squared coalgebras as objects of cocompleted 𝑉 ⨂ 𝑉 (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication. Based on this, (squared) bialgebras and Hopf algebras are defined without use of braiding. If 𝑉 is the category of 𝑉-vector spaces, squared (co)algebras coincide with conventional ones. If 𝑉 is braided, a braided Hopf algebra can be obtained from a squared...
Stability of commuting maps and Lie maps
Let A be an ultraprime Banach algebra. We prove that each approximately commuting continuous linear (or quadratic) map on A is near an actual commuting continuous linear (resp. quadratic) map on A. Furthermore, we use this analysis to study how close are approximate Lie isomorphisms and approximate Lie derivations to actual Lie isomorphisms and Lie derivations, respectively.