Now showing items 21-30 of 195
Interactions between non-commutative algebraic geometry and skew PBW extensions
Abstract. We study some relations and interactions between non-commutative algebraic geometry and the skew PBW extensions. For this we will introduce a new class of noncommutative rings, the semi-graded rings, and for ...
States in generalized probabilistic models: An approach based in algebraic geometry
(De Gruyter, 2019-06)
We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows ...
Solving matrix inequalities whose unknowns are matrices
(Siam PublicationsPhiladelphiaEUA, 2006)
REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA
Let be a nondegenerate skew symmetric real d × d matrix, and let A be the corresponding simple higher dimensional noncommutative torus. Suppose that d is odd, or that d 4 and the entries of are not contained in a quadratic ...
Non-commutative Schur-Horn theorems and extended majorization for Hermitian matrices
(Taylor & Francis Ltd, 2010-06)
Let A ⊆ Mn(C) be a unital ∗-subalgebra of the algebra Mn(C) of all n×n complex matrices and let B be an hermitian matrix. Let Un(B) denote the unitary orbit of B in Mn(C) and let EA denote the trace preserving conditional ...