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math-ph2002
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…
math-ph2002
The Index Theorem for Homogeneous Differential Operators on Supermanifolds
Dimitry Leites
In mid 60s Bott proved that (1) the index theorem for homogeneous, G-invariant, elliptic differential operators acting in the spaces of sections of induced representations of G ove…