Contents
Preface vii
Probability
The Role of Weak Convergence in Probability Theory
S. R. S. Varadhan 3
Foundations of Quantum Mechanics
Statistical models on a simplex
Enrico G. Beltrametti 13
Quantum Error Correcting Codes
Quantum Error Correcting Codes and Weyl Commutation Relations
K. R. Parthasarathy 29
Finite and Infinite Dimensional Lie Groups and Algebras
and their Representations
Ideals in parabolic subalgebras of simple Lie algebras
Vyjayanthi Chari, R. J. Dolbin, and T. Ridenour 47
Quantizations of modules of differential operators
Charles H. Conley 61
Geometric realization of PRV components and the Littlewood-Richardson cone
Ivan Dimitrov and Mike Roth 83
Ka¸ c algebras, quantum doubles and planar algebras
S. Jijo and V. S. Sunder 97
On a theorem of Ranee Brylinski
Bertram Kostant and Nolan Wallach 105
Conjugacy of maximal toral subalgebras of direct limits of loop algebras
Hadi Salmasian 133
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