Transvectants, Modular Forms, and the Heisenberg Algebra
β Scribed by Peter J. Olver; Jan A. Sanders
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 198 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
β¦ Synopsis
We discuss the amazing interconnections between normal form theory, classical invariant theory and transvectants, modular forms and Rankin-Cohen brackets, representations of the Heisenberg algebra, differential invariants, solitons, Hirota operators, star products and Moyal brackets, and coherent states.
π SIMILAR VOLUMES
The Block algebra L referred to here is the Lie algebra over a field F of Γ Ε½ . ΓΕ½ .44 characteristic 0 with basis e N r, s g Z = Z \_ 0, 0 and subject to the comr, s w x Ε½ . mutation relations e , e s rk y sh e . Let 0, 1 / q g F. The q-form h, k r, s h qr, kqs Ε½ . Γ Ε½ . Ε½ . ΓΕ½ .44 L q of L is the
## Abstract The recent claim by da Rocha and Rodrigues that the nonassociative orientation congruent algebra (πͺπ algebra) and native Clifford algebra are incompatible with the Clifford bundle approach is false. The new native Clifford bundle approach, in fact, __subsumes__ the ordinary Clifford bun
## Abstract Let __N__ β β and let __Ο__ be a Dirichlet character modulo __N__. Let __f__ be a modular form with respect to the group Ξ~0~(__N__), multiplier __Ο__ and weight __k__. Let __F__ be the __L__ βfunction associated with __f__ and normalized in such a way that __F__ (__s__) satisfies a fun