A Multiplication Rule for the Descent Algebra of Type D

Journal of Algebra

Volumn 206, Issue 2, 1998, Pages 699-705

  Bergeron, Nantel ^a   Van Willigenburg, Stephanie ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038242060     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7428     Document Type: Article

References (9)

1. Atkinson M. D. Solomon's descent algebra revisited. Bull. London Math. Soc. 24:1992;545-551.
2. Bergeron F., Bergeron N. A decomposition of the descent algebra of the hyperoctahedral group 1. J. Algebra. 148:1992;86-97.
3. Bergeron F., Bergeron N., Howlett R. B., Taylor D. E. A decomposition of the descent algebra of a finite Coxeter group. J. Algebraic Combin. 1:1992;23-44.
4. Bergeron F., Garsia A., Reutenauer C. Homomorphisms between Solomon's descent algebras. J. Algebra. 150:1992;503-519.
5. Garsia A. M., Remmel J. Shuffles of permutations and the Kronecker product. Graphs Combin. 1:1985;217-263.
6. Garsia A. M., Reutenauer C. A decomposition of Solomon's descent algebra. Adv. in Math. 77:1989;189-262.
7. Solomon L. A Mackey formula in the group ring of a Coxeter group. J. Algebra. 41:1976;255-268.
8. van Willigenburg S. J. A proof of Solomon's rule. J. Algebra. 206:1998;693-698.
9. S. J. van Willigenburg, The Descent Algebras of Coxeter Groups, University of St. Andrews, 1997.