8 citations · 8 across the 1 of their papers we have counts for
5 papers
The analogs of the Riemann tensor for exceptional structures on supermanifolds
Pavel Grozman, Dimitry Leites, Irina Shchepochkina
H. Hertz called any manifold M with a given nonintegrable distribution {\it nonholonomic}. Vershik and Gershkovich stated and R. Montgomery proved that the space of germs of any no…
Defining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model
Pavel Grozman, Dimitry Leites, Irina Shchepochkina
We list defining relations for the four of the five exceptional simple Lie superalgebras some of which, as David Broadhurst conjectured and Kac demonstrated, may pertain to The Sta…
The Howe duality and Lie superalgebras
Dimitry Leites, Irina Shchepochkina
Howe's duality is considered from a unifying point of view based on Lie superalgebras. New examples are offered. In particular, we construct several simplest spinor-oscillator repr…
Maximal subalgebras of matrix Lie superalgebras
Irina Shchepochkina
Dynkin's classification of maximal subalgebras of simple finite dimensional complex Lie algebras is generalized to Lie subsuperalgebras of the general linear Lie superalgebras.
The five exceptional simple Lie superalgebras of vector fields
Irina Shchepochkina
The five simple exceptional complex Lie superalgbras of vector fields are described. One of them is new; the other four are explicitely described for the first time. All of the exc…