Invariant Measures for Unitary Groups Associated to Kac Moody Lie Algebras is popular PDF and ePub book, written by Doug Pickrell in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Invariant Measures for Unitary Groups Associated to Kac Moody Lie Algebras can be Read Online from any device for your convenience.
Invariant Measures for Unitary Groups Associated to Kac Moody Lie Algebras Book PDF Summary
The main purpose of this paper is to prove the existence, and in some cases the uniqueness, of unitarily invariant measures on formal completions of groups associated to affine Kac-Moody algebras, and associated homogeneous spaces. The basic invariant measure is a natural generalization of Haar measure for a simply connected compact Lie group, and its projection to flag spaces is a generalization of the normalized invariant volume element. The other "invariant measures" are actually measures having values in line bundles over these spaces; these bundle-valued measures heuristically arise from coupling the basic invariant measure to Hermitian structures on associated line bundles, but in this infinite dimensional setting they are generally singular with respect to the basic invariant measure.
Detail Book of Invariant Measures for Unitary Groups Associated to Kac Moody Lie Algebras PDF
- Author : Doug Pickrell
- Release : 29 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821820681
- Genre : Mathematics
- Total Page : 143 pages
- Language : English
- PDF File Size : 9,5 Mb
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