The Kazhdan-Lusztig Conjecture for Generalized Verma Modules
The kernel of an homomorphism of Harish-Chandra
The Khovanov-Lauda 2-category and categorifications of a level two quantum representation.
The Kontsevich integral and quantized Lie superalgebras.
The Kostant partition functions for twisted Kac-Moody algebras.
The Kuranishi space of complex parallelisable nilmanifolds
We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.
The Last Possible Place of Unitarity for Certain Highest Weight Modules.
The Leibniz algebras whose subalgebras are ideals
In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
The Levitzki Radical in Varieties of Algebras.
The Lie algebra cohomology of jets.
The Lie algebra of endomorphisms of an infinite-dimensional vector space
The local integration of Leibniz algebras
This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article ends with...
The Magic Square and symmetric Compositions.
The new construction given by Barton and Sudbery of the Freudenthal-Tits magic square, which includes the exceptional classical simple Lie algebras, will be interpreted and extended by using a pair of symmetric composition algebras, instead of the standard unital composition algebras.
The Magic Square and Symmetric Compositions II.
The Magnus embedding for right-symmetric algebras.
The mathematics of fivebranes.
The maximal function of a complex measure
The meaning of time and covariant superderivatives in supermechanics.
The Minimal Condition for Subideals of Lie Algebras.
The minimal orbit in a simple Lie algebra and its associated maximal ideal