34 citations · 111 across the 13 of their papers we have counts for
4 papers · 1 filter
Invariant Polynomial Functions on k qudits
Jean-Luc Brylinski, Ranee Brylinski
We study the polynomial functions on tensor states in which are invariant under . We describe the space of invariant polynomials in terms of symmetric…
Differentiable Cohomology of Gauge Groups
Jean-Luc Brylinski
We give a definition of differentiable cohomology of a Lie group G (possibly infinite-dimensional) with coefficients in any abelian Lie group. This differentiable cohomology maps b…
Algebraic measures of entanglement
Jean-Luc Brylinski
We study the rank of a general tensor in a tensor product $H_1\ot...\ot H_k$. The rank of is the minimal number of pure states such that is a linear c…
Gerbes on complex reductive Lie groups
Jean-Luc Brylinski
We construct a gerbe over a complex reductive Lie group G attached to an invariant bilinear form on a maximal diagonalizable subalgebra which is Weyl group invariant and satisfies…