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Cônes nilpotents des super algèbres de Lie orthosymplectiques

Caroline Gruson, Séverine Leidwanger (2010)

Annales mathématiques Blaise Pascal

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 .

Conformal blocks and cohomology in genus 0

Prakash Belkale, Swarnava Mukhopadhyay (2014)

Annales de l’institut Fourier

We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus 0 for classical Lie algebras and G 2 .

Congruences and ideals in ternary rings

Ivan Chajda, Radomír Halaš, František Machala (1997)

Czechoslovak Mathematical Journal

A ternary ring is an algebraic structure = ( R ; t , 0 , 1 ) of type ( 3 , 0 , 0 ) satisfying the identities t ( 0 , x , y ) = y = t ( x , 0 , y ) and t ( 1 , x , 0 ) = x = ( x , 1 , 0 ) where, moreover, for any a , b , c R there exists a unique d R with t ( a , b , d ) = c . A congruence θ on is called normal if / θ 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.

Conservative algebras and superalgebras: a survey

Yury Popov (2020)

Communications in Mathematics

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.

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