zbMath0726.22015MaRDI QIDQ3999168
Jouko Mickelsson
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferretti-Rajeev term and homotopy theory,
On the classical origin of the fermionic Schwinger term,
On some representations of current algebras in two dimensions and their central extensions,
Vacuum expectation values of products of chiral currents in \(3+1\) dimensions,
Hilbert space cocycles as representations of \((3+1)\)-D current algebras,
Connections on the path bundle of a principal fiber bundle,
Solving stochastic differential equations on \(\text{Homeo}(S^1\)),
Symplectic geometry of the loop space of a Riemannian manifold,
Third group cohomology and gerbes over Lie groups,
Infinite-dimensional flag manifolds in integrable systems,
Special issue: Selected papers based on the presentation at the summer school ``Geometric and topological methods for quantum field theory, Villa de Leyva, Colombia, July 7--25, 2003., Representation of a gauge group as motions of a Hilbert space, Geometry and analysis on isospectral sets. II: Grassmannian, determinant bundle and the tau function, asymptotic case, Schwinger terms and cohomology of pseudodifferential operators, Hyperkähler structures and infinite-dimensional Grassmannians, Some connections between inverse scattering and solution hierarchies, Faddeev's anomaly and bundle gerbes, Stochastic Wess–Zumino–Novikov–Witten model on the torus, Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure, On \(Y M_ 2\) measures and area-preserving diffeomorphisms, Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I: Remnants of duality at the classical level, Four-dimensional Wess--Zumino--Witten actions, Lie n-algebras of BPS charges, A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators, Unnamed Item, Bundle gerbes and moduli spaces, Higher-dimensional loop algebras, non-abelian extensions and \(p\)-branes, The path group construction of Lie group extensions, Loop groups and diffeomorphism groups of the circle as colimits, Higher-order polarizations on the Virasoro group and anomalies, Semibounded unitary representations of double extensions of Hilbert-loop groups, Anomalies in gauge theory and gerbes over quotient stacks, Bäcklund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang–Mills Equation, Double loop algebras and elliptic root systems, Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle, Projective unitary representations of infinite-dimensional Lie groups, Boundary currents and Hamiltonian quantization of fermions in background fields, Time-dependent realization of the infinite-dimensional hydrogen algebra, Lie group representations and quantization, Homogeneous algebraic distributions, Fractional loop group and twisted \(K\)-theory, The Stiefel bundle of a Banach algebra, Chern-Simons pre-quantizations over four-manifolds, Integrability criterion for abelian extensions of Lie groups, Renormalised Chern-Weil forms associated with families of Dirac operators, Towards a Lie theory of locally convex groups, Twistor quantization of loop spaces of compact Lie groups, Adiabatic connection and Schwinger term for two-dimensional Majorana-Weyl fermions in static background geometries, Extensions of current groups on \(S^3\) and the adjoint representations, Separable representations for automorphism groups of infinite symmetric spaces, Central extensions of groups of sections, Universal Teichmüller space in geometry and physics, Current algebras over manifolds: Poisson algebras, \(q\)-deformations and quantization, Current algebra in three dimensions, Mickelsson-Rajeev cocycle corresponding to dimension five, Operator algebras and conformal field theory, Deformation of current algebras in \(3+1\) dimensions, Banach algebras associated to Lax pairs, Representations in \(L^{2}\)-spaces on infinite-dimensional symmetric cones, Canonical Brownian motion on the diffeomorphism group of the circle, Topological geometrodynamics. I: General theory, Lie bi-algebras on the non-commutative torus
