A new method for constructing factorisable representations for current groups and current algebras

DOI10.1007/BF01617994zbMath0332.43009MaRDI QIDQ1228052

K. R. Parthasarathy, Klaus Schmidt

Publication date: 1976

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Cylindrical representations of some infinite dimensional nuclear Lie groups, Unnamed Item, Generalized positive energy representations of groups of jets, Unnamed Item, Some remarks on representations of jet groups and gauge groups, Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group, Classification and Casimir invariants of Lie-Poisson brackets, Current algebras and the identification problem, The twisted top, Low-order cohomology of semi-simple Lie groups with applications to continuous tensor products and current groups, Factoriality of representations of the group of paths on SU(n), Factorial representations of path groups

Cites Work

• Factorisable representations of current groups and the Araki-Woods imbedding theorem
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• REPRESENTATIONS OF THE GROUP SL(2,R), WHERERIS A RING OF FUNCTIONS