Integral Quadratic Forms, Kac-Moody Algebras, and Fractional Quantum Hall Effect. An ADE- Classification
Intertwining symmetry algebras of quantum superintegrable systems.
Matrix elements and highest weight Wigner coefficients of
Monstrous moonshine and monstrous Lie superalgebras.
Notes on TQFT wire models and coherence equations for triangular cells.
On the degenerate multiplicity of the loop algebra for the 6V transfer matrix at roots of unity.
On the mass spectrum of Higgs particles
On the supergroup and its superfield representations
Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels
Quantum integrable systems
Quasiclassical limit of KP hierarchy, -symmetries, and free fermions
Representation theory of affine superalgebras at the critical level.
Representations of and the value of the fine structure constant.
Schwinger terms, gerbes, and operator residues
Semibounded Unitary Representations of Double Extensions of Hilbert–Loop Groups
A unitary representation of a, possibly infinite dimensional, Lie group is called semibounded if the corresponding operators from the derived representation are uniformly bounded from above on some non-empty open subset of the Lie algebra of . We classify all irreducible semibounded representations of the groups which are double extensions of the twisted loop group , where is a simple Hilbert–Lie group (in the sense that the scalar product on its Lie algebra is invariant) and is...
Semi-infinite cohomology and superconformal algebras
We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a non-degenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, which is analogous to the classical structure of the de Rham cohomology in Kähler...
Spacelike singularities and hidden symmetries of gravity.
Spinor types in infinite dimensions.
nonstandard bases: case of mutually unbiased bases.
Supersymmetry of affine Toda models as fermionic symmetry flows of the extended mkdv hierarchy.