86 citations · 478 across the 67 of their papers we have counts for
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hep-th1997★ 2 cited
Supersymmetry of the Schroedinger and Korteweg-de Vries operators
Dimitry Leites, Xuan Peiqi
In 70's A.A. Kirillov interpreted the stationary Schroedinger (Sturm-Liouville) operator as an element of the dual space to the Virasoro algebra, i.e., the nontrivial central exten…
hep-th1997★ 86 cited
Lie superalgebras of string theories
Pavel Grozman, Dimitry Leites, Irina Shchepochkina
We define and describe simple complex Lie superalgbras of vector fields on "supercircles" - simple stringy superalgebras. There are four series of such algebras and four exceptiona…
hep-th1997★ 35 cited
Defining Relations for Lie Superalgebras with Cartan matrix
Pavel Grozman, Dimitry Leites
We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizabl…