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Matrix symmetric and quasi-symmetric functions and noncommutative representation theory

open access: yes
A 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
openaire   +2 more sources

The primitives of the Hopf algebra of noncommutative symmetric functions

open access: yesThe 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
openaire   +3 more sources

Geodesic motion in Euclidean Schwarzschild geometry. [PDF]

open access: yesEur Phys J C Part Fields, 2022
Battista E, Esposito G.
europepmc   +1 more source

The local motivic DT/PT correspondence. [PDF]

open access: yesJ Lond Math Soc, 2021
Davison B, Ricolfi AT.
europepmc   +1 more source

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