On the Siegel–Weil formula for unitary groups
✍ Scribed by Atsushi Ichino
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- French
- Weight
- 181 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
This Letter is concerned with formalism for performing spin-dependent CI calculations on molecules, We communicate the mathematical formulae for the matrix elements of the U (2n) generators in the spin-orbit U(n) xU( ) symmetry adapted basis, as required for spin-dependent (CI) calculations. Our for
Let G be a finite symplectic or unitary group. We characterize the Weil representations of G via their restriction to a standard subgroup. Then we complete the determination of complex representations of G with specific minimal polynomials of certain elements by showing that they coincide with the W
The matrix elements of spin-dependent U (2n) generators are given explicitly. These matrix elements are expressed in terms of those of spin-independent U(n) and U (n + 1) generators, and can therefore be easily incorporated into existing unitary group approach based programs.