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Quantum cluster algebras and quantum nilpotent algebras. [PDF]
Proc Natl Acad Sci U S A, 2014 Goodearl KR, Yakimov MT.
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Symmetrical Parameterization of Rigid Body Transformations for Biomolecular Structures. [PDF]
J Comput Biol, 2018 Kim JS, Chirikjian GS.
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A non-commutative Julia Inequality. [PDF]
Math Ann, 2018 McCarthy JE, Pascoe JE.
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Noncommutative Symmetric Bessel Functions
Canadian Mathematical Bulletin, 2008AbstractThe consideration of tensor products of 0-Hecke algebramodules leads to natural analogs of the BesselJ-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
Novelli, Jean-Christophe +1 more
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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions
2000In this paper, we investigate various kinds of generalisations of symmetric functions. The classical algebra Sym of symmetric functions is embedded in QSym, the algebra of quasi-symmetric functions, and is also a quotient of the algebra Sym of noncommutative symmetric functions.
Duchamp, G. +2 more
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Noncommutative symmetric functions and combinatorial Hopf algebras
2011We present on a few examples a class of algebras which are increasingly popular in Combinatorics, and tend to permeate other fields as well. In particular, some of these algebras have connections with mould calculus and resurgence theory. They can be approached in many different ways.
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Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited
Annals of Combinatorics, 2011Florent Hivert +2 more
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