Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups
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Publication:1118052
DOI10.1007/BF01077419zbMath0668.22008MaRDI QIDQ1118052
Publication date: 1988
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Lie algebraunitary representationshighest weightsinfinite dimensional groupsholomorphic extensions of representationspolynomial currents
Related Items (7)
The representation ring of the unitary groups and Markov processes of algebraic origin ⋮ The problem of harmonic analysis on the infinite-dimensional unitary group. ⋮ Multiplicity, invariants and tensor product decompositions of tame representations of U(∞) ⋮ A product on double cosets of \(B_\infty\) ⋮ Separable representations for automorphism groups of infinite symmetric spaces ⋮ Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite dimensional domains ⋮ Iwasawa decompositions of some infinite-dimensional Lie groups
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- Infinite-dimensional metagonal and metaplectic groups. I. General concepts and metagonal groups
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- On the Segal-Shale-Weil representations and harmonic polynomials
- Some remarks suggesting an interesting theory of harmonic functions on SU(2n+1)/Sp(n) and SO(2n+1)/U(n)
- Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
- The Structure of a Class of Representations of the Unitary Group on a Hilbert Space
- On Contractions of Semisimple Lie Groups
- Remarks on Classical Invariant Theory
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