A Note on Plethysm
โ Scribed by Black, S.C.; List, R.J.
- Book ID
- 123520009
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 201 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
where k 1, admits a natural filtration (over any ring in which 2 is invertible) so that the associated graded object is the one predicted by the characteristic zero theory. Informally speaking, we see that 2 is the only bad characteristic for these plethysms.
We use the Hopf algebra structure of the algebra of symmetric functions to study the Adams operators of the complex representation rings of symmetric groups, and we give new proofs of all of Littlewood's formulas for inner plethysm. We also study the Adams operations for orthogonal and symplectic gr