Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras
Copyright policy )Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras
[in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.] This paper discusses various deformations of free associative algebras and of their convolution algebras. Our main examples are deformations of noncommutative symmetric functions related to families of idempotents in descent algebras, and a simple q-analogue of the shuffle product, which has unexpected connections with quantum groups, hyperplane arrangements, and certain questions in mathematical physics (the quon algebra, generalized Brownian motion).
- Bilkent University Turkey
- Sorbonne University France
- Sorbonne Paris Cité France
- Laboratoire d'Informatique Gaspard-Monge France
- University of Paris France
Symmetric functions and generalizations, free Lie algebras, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [math.math-ra]mathematics [math]/rings and algebras [math.ra], descent algebras, quantum shuffle, [math.math-co]mathematics [math]/combinatorics [math.co], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], [info.info-dm]computer science [cs]/discrete mathematics [cs.dm], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA], QA1-939, symmetric functions, Mathematics
Symmetric functions and generalizations, free Lie algebras, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [math.math-ra]mathematics [math]/rings and algebras [math.ra], descent algebras, quantum shuffle, [math.math-co]mathematics [math]/combinatorics [math.co], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], [info.info-dm]computer science [cs]/discrete mathematics [cs.dm], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA], QA1-939, symmetric functions, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).18 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!