Comtrans algebras and their physical applications
Nous étudions le cône nilpotent impair des super algèbres de Lie orthosymplectiques. Nous nous intéressons aux orbites nilpotentes impaires qui le constituent, à la relation d’ordre sur leurs adhérences et donnons une désingularisation de ce cône .
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus for classical Lie algebras and .
Using equivariant localization formulas we give a formula for conformal blocks at level one on the sphere as suitable polynomials.
A ternary ring is an algebraic structure of type satisfying the identities and where, moreover, for any , , there exists a unique with . A congruence on is called normal if is a ternary ring again. We describe basic properties of the lattice of all normal congruences on and establish connections between ideals (introduced earlier by the third author) and congruence kernels.
We give a survey of results obtained on the class of conservative algebras and superalgebras, as well as on their important subvarieties, such as terminal algebras.