论文信息 - Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors

Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors

The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.

Jean-Yves Thibon | Jean-Gabriel Luque

[1] C. Banderier,et al. Lattice Paths With An Infinite Set Of Jumps , 2002 .

[2] Israel M. Gelfand,et al. Noncommutative Symmetrical Functions , 1995 .

[3] C. Reutenauer. On Symmetric Functions Related to Witt Vectors and the Free Lie Algebra , 1995 .

[4] E. Witt,et al. Zyklische Körper und Algebren der Charakteristik p vom Grad p n , 1998 .

[5] Dominique Perrin,et al. Length Distributions and Regular Sequences , 2001 .

[6] G. Rota,et al. Witt vectors and the algebra of necklaces , 1983 .

[7] Alain Lascoux,et al. Noncommutative symmetric functions , 1994 .

[8] E. Witt,et al. Zyklische Körper und Algebren der Charakteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper der Charakteristik p. , 1937 .

[9] I. G. MacDonald,et al. Symmetric functions and Hall polynomials , 1979 .

[10] Marc Noy,et al. A solution to the tennis ball problem , 2005, Theor. Comput. Sci..

[11] Umberto Eco,et al. Theory of Codes , 1976 .

[12] G. Viennot. Algèbres de Lie Libres et Monoïdes Libres , 1978 .

[13] N. J. A. Sloane,et al. The On-Line Encyclopedia of Integer Sequences , 2003, Electron. J. Comb..

[14] B. M. Fulk. MATH , 1992 .

[15] Michiel Hazewinkel,et al. Formal Groups and Applications , 1978 .

[16] E. Witt,et al. Treue Darstellung Liescher Ringe. , 1937 .