Mathematical Foundations of Quantum Information Workshop (2009. Sevilla)
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Introduction to symmetric functions
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Kronecker coefficients, convexity, and generating functions
(2009-11)We give definitions for Kronecker coefficients and discuss possible applications in algebraic complexity theory and quantum ...
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Tensor algebras, words, and invariants of polynomials in non-commutative variables
(2009-11)Consider a vector space V for which we specify a basis, then the tensor algebra T(V) corresponds to the non-commutative ...
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Some remarks on characters of symmetric groups, Schur functions, Littlewood-Richardson and Kronecker coefficients
(2009-11)The evaluation of characters of symmetric groups as polynomials in class numbers will be discussed, along with their use ...
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A max-flow algorithm for positivity of Littlewood-Richardson coefficients
(2009-11)Littlewood-Richardson coefficients appear as limits of certain families of Kronecker coefficients. They have a wide variety ...
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Kronecher powers and character polynomials
(2009-11)In this talk, I will present joint works with Cedric Chauve and Adriano Garsia. With C. Chauve, we studied Kronecker ...
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Computational aspects of invariants of multipartite quantum systems
(2009-11)We consider the problem of finding complete sets of polynomial invariants of multipartite quantum system with respect to ...
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Invariant theory of projective reflection groups, and their Kronecker coefficients
(2009-11)We introduce the class of projective reflection groups which includes all complex reflection groups. We show that several ...