# Symmetry in Mathematics and Physics

### About this Title

**Donald Babbitt**, **Vyjayanthi Chari** and **Rita Fioresi**, Editors

Publication: Contemporary Mathematics

Publication Year
2009: Volume 490

ISBNs: 978-0-8218-4731-2 (print); 978-0-8218-8169-9 (online)

DOI: http://dx.doi.org/10.1090/conm/490

MathSciNet review: 2555965

### Table of Contents

**Front/Back Matter**

- S. R. S. Varadhan – The role of weak convergence in probability theory [MR 2555966]

** Foundations of Quantum Mechanics **

- Enrico G. Beltrametti – Statistical models on a simplex [MR 2555967]

** Quantum Error Correcting Codes **

- K. R. Parthasarathy – Quantum error correcting codes and Weyl commutation relations [MR 2555968]

** Finite and Infinite Dimensional Lie Groups and Algebras and their
Representations **

- Vyjayanthi Chari, R. J. Dolbin and T. Ridenour – Ideals in parabolic subalgebras of simple Lie algebras [MR 2555969]
- Charles H. Conley – Quantizations of modules of differential operators [MR 2555970]
- Ivan Dimitrov and Mike Roth – Geometric realization of PRV components and the Littlewood-Richardson cone [MR 2555971]
- S. Jijo and V. S. Sunder – Kac algebras, quantum doubles and planar algebras [MR 2555972]
- Bertram Kostant and Nolan Wallach – On a theorem of Ranee Brylinski [MR 2555973]
- Hadi Salmasian – Conjugacy of maximal toral subalgebras of direct limits of loop algebras [MR 2555974]
- Nolan Wallach and Oded Yacobi – A multiplicity formula for tensor products of ${\rm SL}_2$ modules and an explicit ${\rm Sp}_{2n}$ to ${\rm Sp}_{2n-2}\times {\rm Sp}_2$ branching formula [MR 2555975]

** Super Lie Groups and Supergeometry **

- Luigi Balduzzi, Claudio Carmeli and Gianni Cassinelli – Super $G$-spaces [MR 2555976]
- Luigi Balduzzi, Claudio Carmeli and Rita Fioresi – Quotients in supergeometry [MR 2555977]
- María Antonia Lledó and José Antonio López – Special geometry of $D=4,\ 5$ supersymmetry [MR 2555978]

- Sergio Ferrara and Alessio Marrani – Symmetric spaces in supergravity [MR 2555979]
- Mary K. Gaillard – Symmetry and superstring phenomenology [MR 2555980]
- B. Zumino – Supersymmetry: a personal view [MR 2555981]