Vladimir E. Sokolov: 1928–98

Nonstandard Drinfeld-Sokolov reduction

Subject to some conditions, the input data for the Drinfeld-Sokolov construction of KdV type hierarchies is a quadruplet (A,Λ, d1, d0), where the di are Z-gradations of a loop algebra A and Λ ∈ A is a semisimple element of nonzero d1-grade. A new sufficient condition on the quadruplet under which the construction works is proposed and examples are presented. The proposal relies on splitting the...

Review of "Karyotypes of Parasitic Hymenoptera" by Vladimir E. Gokhman

Review of Gokhman VE: Karyotypes of Parasitic Hymenoptera Book details Gokhman VE: Karyotypes of Parasitic Hymenoptera Springer; 2009:183. ISBN 978-1-4020-9807-9 Review This book is principally the summary of a large body of work, spanning nearly 25 years, by Vladimir Gokhman [1]. He has carved a niche in karyology of parasitoid wasps and this book has much to offer in the way of chromosome dat...

Supersymmetric Drinfeld - Sokolov reduction

The Drinfeld-Sokolov construction of integrable hierarchies, as well as its generalizations, may be extended to the case of loop superalge-bras. A sufficient condition on the algebraic data for the resulting hierarchy to be invariant under supersymmetry transformation is given. The method used is a construction of the hierarchies in superspace, where supersymmetry is manifest. Several examples ...

Vladimir Marik

The increasing demand for the use of database systems as an integrating factor in CAD/CAM applications has necessitated the development of database systems with appropriate modelling and retrieval capabilities. One essential problem is the treatment of geometric data which has led to the development of spatial databases. Unfortunately, most proposals only deal with simple geometric objects like...

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