Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization

作者：Bui V C; Duchamp G H E; Minh V Hoang Ngoc^*; Kane L; Tollu C

来源：Journal of Symbolic Computation, 2016, 75: 56-73.

DOI：10.1016/j.jsc.2015.11.007

• Noncommutative symmetric and
• quasi-symmetric functions
• Lie elements
• Monoidal factorization
• Transcendence bases

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

• 出版日期2016-8