Simple special Jordan superalgebras with associative nil-semisimple even part
Simplicial and crossed Lie algebras.
Singular Blocks of the Category O.
Singular complete integrability
Singular Holomorphic Representations and Singular Modular Forms.
Singular localization of -modules and applications to representation theory
We prove a singular version of Beilinson–Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case settled by [BMR06]. We apply this theory to translation functors, singular blocks in the Bernstein–Gelfand–Gelfand category O and Whittaker modules.
Singular operations on algebras (generalized contractions)
Singular Poisson-Kähler geometry of certain adjoint quotients
The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
Singular vectors corresponding to imaginary roots in verma modules over affine Lie algebras.
Singularités quotients non abéliennes de dimension 3 et variétés de Calabi-Yau.
Skein quantization of Poisson algebras of loops on surfaces
Skein theory for -quantum invariants.
Skew-Symmetric Derivations of a Complex Lie Algebra.
Sklyanin determinant for reflection algebra.
SL2-triplet associé à un polynôme homogène.
Smallness problem for quantum affine algebras and quiver varieties
The geometric small property (Borho-MacPherson [2]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [37, 35] for certain resolutions of quiver varieties [37] (analogs of the Springer resolution): for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we characterize explicitly the Drinfeld polynomials corresponding to the small resolutions. We use an elimination...
Sobre derivaciones de algebras de Lie
Sobre derivaciones exteriores de algebras de Lie
Soluble subideals of Lie algebras
Solutions to the XXX type Bethe ansatz equations and flag varieties
We consider a version of the A N Bethe equation of XXX type and introduce a reporduction procedure constructing new solutions of this equation from a given one. The set of all solutions obtained from a given one is called a population. We show that a population is isomorphic to the sl N+1 flag variety and that the populations are in one-to-one correspondence with intersection points of suitable Schubert cycles in a Grassmanian variety. We also obtain similar results for the root systems B N and...