NCSF, A Maple Package for Noncommutative Symmetric Functions
, 2007 This paper describes a Maple package for handling integral noncommutative symmetric and quasi-symmetric functions. It provides for the noncommutative case the same functionalities as J.
Bun-chan-vorac Ung
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Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups. [PDF]
Ann Henri Poincare, 2023 Wirth M, Zhang H.
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Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
Journal of AlgebraA fundamental result by L. Solomon in algebraic combinatorics and representation theory states that Mackey formulas for products of characters of a symmetric group, or equivalently the computation of tensor products of representations thereof, can be lifted to the corresponding Solomon's descent algebra, a subalgebra of the group algebra with a very ...
Foissy, Loïc +2 more
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On the M2-Brane Index on Noncommutative Crepant Resolutions. [PDF]
Lett Math Phys, 2022 Cirafici M.
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. [PDF]
Entropy (Basel), 2023 Vladimirov IG.
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The primitives of the Hopf algebra of noncommutative symmetric functions
The São Paulo Journal of Mathematical Sciences, 2007 Let NSymm be the Hopf algebra of noncommutative symmetric functions over the integers. In this paper a description is given of its Lie algebra of primitives over the integers, Prim(NSymm), in terms of recursion formulas. For each of the primitives of a basis of Prim(NSymm), indexed by Lyndon words, there is a recursively given divided power series over
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]
Lett Math Phys, 2022 Pérez-Sánchez CI.
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Matrix Whittaker processes. [PDF]
Probab Theory Relat Fields, 2023 Arista J, Bisi E, O'Connell N.
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Noncommutative symmetric functions V: A degenerate version of Uq(glN)
, 1997 We interpret quasi-symmetric functions and noncommutative symmetric functions as characters of a degenerate quantum group obtained by putting q = 0 in a variant of U q (gl N )
Daniel Krob, Jean-Yves Thibon
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