Scientists / Open questions
Israel M. Gelfand
Representation theory; functional analysis
6 questions
Matrices with polynomial or index-independent coefficients in the noncommutative Cayley–Hamilton theorem
Classification of Hamiltonian operators and Hamiltonian pairs in the formal variational calculus beyond the Gel'fand–Dorfman affine class
Injectivity of the canonical map from the universal algebra of pseudo-roots into the free skew field
Reproducible axis of symmetry between the constant domains and of the immunoglobulin Fab, and robustness of their geometric invariant core
Koszulity of the splitting algebras A(Γ) associated to directed graphs: the Cohen–Macaulay converse
Gaussian-scheme representability of Coxeter matroids: the conjectured equality of geometric and combinatorial flag varieties for every finite Coxeter group, and the symplectic case