A Hopf-Algebra Approach to Inner Plethysm
β Scribed by T. Scharf; J.Y. Thibon
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 792 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
β¦ Synopsis
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 group characters. 1994 Academic Press. Inc.
π SIMILAR VOLUMES
The theory of correspondence reaches far deeper than that of mere numerical congruity with which it is associated as the substance with the shadow"
The GrΓΆbner Basis Algorithm is used to find closed form expressions for the generating functions of finite difference equations. Such difference equations arise in elliptic PDE's, random walk problems, and gambler's ruin problems.
We use the concept of the algebra eigenstates that provides a unified description of the generalized coherent states (belonging to different sets) and of the intelligent states associated with a dynamical symmetry group. The formalism is applied to the two-photon algebra and the corresponding algebr