Géométrie de l'espace tangent sur l'hyperboloïde quantique
Geometry of the Kepler system in coherent states approach
Hartree-Fock theory in nuclear physics
Hermite -polynomials and -oscillators
Hidden symmetry from supersymmetry in one-dimensional quantum mechanics.
Higher dimensional algebra. VII: Groupoidification.
Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem
This paper is a survey of our recent results on the bispectral problem. We describe a new method for constructing bispectral algebras of any rank and illustrate the method by a series of new examples as well as by all previously known ones. Next we exhibit a close connection of the bispectral problem to the representation theory of W1+∞–algerba. This connection allows us to explain and generalise to any rank the result of Magri and Zubelli on the symmetries of the manifold of the bispectral operators...
Hilbert spaces for massless particles with nonvanishing helicities
Homotopy theory of Hopf Galois extensions
We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all -Galois extensions up to homotopy equivalence in the case when is a Drinfeld-Jimbo quantum group.
Hopf diagrams and quantum invariants.
Hopf maps, lowest Landau level, and fuzzy spheres.
How to categorify one-half of quantum 𝔤𝔩(1|2)
We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).
Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits
In this paper, we construct a hyperkähler structure on the complexification of any Hermitian symmetric affine coadjoint orbit of a semi-simple -group of compact type, which is compatible with the complex symplectic form of Kirillov-Kostant-Souriau and restricts to the Kähler structure of . By a relevant identification of the complex orbit with the cotangent space of induced by Mostow’s decomposition theorem, this leads to the existence of a hyperkähler structure on compatible with...
Infinite-dimensional Lie groups and algebras in mathematical physics.
Integrability and diffeomorphisms on target space.
Integrability for representations appearing in geometric pre-quantization
Integrable models of interaction of matter with radiation.
Integrable string models in terms of chiral invariants of groups.
Integral calculus on (2).
Integral Quadratic Forms, Kac-Moody Algebras, and Fractional Quantum Hall Effect. An ADE- Classification