The multisegment duality and the preprojective algebras of type .
The triplet vertex operator superalgebras: twisted sector.
The -cohomology of representations with an infinitesimal character
The -Lie property of the Jacobian as a condition for complete integrability.
The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
The paper is devoted to the derivation of the expansion formula for the powers of the Euler Product in terms of partition hook lengths, discovered by Nekrasov and Okounkov in their study of the Seiberg-Witten Theory. We provide a refinement based on a new property of -cores, and give an elementary proof by using the Macdonald identities. We also obtain an extension by adding two more parameters, which appears to be a discrete interpolation between the Macdonald identities and the generating function...
The nil Hecke ring and Deodhar's conjecture on Bruhat intervals.
The nil Hecke ring and singularity of Schubert varieties.
The nilpotency of near-rings
The nilpotency of torsion-free rings with given type set
The nilpotency properties of the Leibniz algebra .
The norm extension problem: positive results and limits.
The normality of closures of orbits in a Lie algebra.
The nucleus of the free alternative algebra.
The number of sides of a parallelogram.
The orthogonal automorphism groups for -orthograded quasimonocomposition algebras of dimension 9 satisfying the conditions , .
The PBW filtration, Demazure modules and toroidal current algebras.
The Penrose transform and Clifford analysis
[For the entire collection see Zbl 0742.00067.]The Penrose transform is always based on a diagram of homogeneous spaces. Here the case corresponding to the orthogonal group is studied by means of Clifford analysis [see F. Brackx, R. Delanghe and F. Sommen: Clifford analysis (1982; Zbl 0529.30001)], and is presented a simple approach using the Dolbeault realization of the corresponding cohomology groups and a simple calculus with differential forms (the Cauchy integral formula for solutions of...
The polarisation constant for JB*-triples.
The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra.
The quantum double of a (locally) compact group.