Leonard triples and hypercubes

Leonard triples and hypercubes

Let V denote a vector space over C with finite positive dimension. By a Leonard triple on V we mean an ordered triple of linear operators on V such that for each of these operators there exists a basis of V with respect to which the matrix representing that operator is diagonal and the matrices representing the other two operators are irreducible tridiagonal. Let D denote a positive integer and...

Ela Totally Bipartite/abipartite Leonard Pairs and Leonard Triples of Bannai/ito Type

This paper is about three classes of objects: Leonard pairs, Leonard triples, and the modules for a certain algebra A. Let K denote an algebraically closed field of characteristic zero. Let V denote a vector space over K with finite positive dimension. A Leonard pair on V is an ordered pair of linear transformations in End(V ) such that, for each of these transformations, there exists a basis f...

Foreword Leonard

Much has changed in computer security since 1973, when the Bell-LaPadula model was first published. Development has moved away from kernel-based secure systems toward application-level security capabilities, providing secure transactions on top of commercial, nonsecure operating systems. The potential for widespread use of encryption for privacy, authentication, and other services, as embodied ...

Leonard Colebrook (1883?1967)

Leonard Colebrook was a physician who researched bacteria and infections in England during the twentieth century. In 1936, Colebrook deployed the antibiotic Prontosil to treat puerperal fever, a disorder that results from bacterial infections in the uterine tracts of women after childbirth or abortions. Colebrook also advanced care for burn patients by advocating for the creation of burn units ...

Lauren Galik and Leonard Gilroy