Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization. (July 2016)

• Record Type: Journal Article
• Authors: Bui, V.C.; Duchamp, G.H.E.; Hoang Ngoc Minh, V.; Kane, L.; Tollu, C.
• Is Part Of: Journal of symbolic computation. Volume 75(2016)
• Page Start: 56
• Page End: 73
• Publication Date: 2016-07
• Subjects: Noncommutative symmetric and quasi-symmetric functions -- Lie elements -- Monoidal factorization -- Transcendence bases; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2015.11.007
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We propose effective constructions of dual bases for the noncommutative symmetric and quasi-symmetric functions. To this end, we use an effective variation of Schützenberger's factorization adapted to the diagonal pairing between a graded space and its dual.