[PDF.72nv] Invariant Measures for Unitary Groups Associated to Kac-Moody Lie Algebras (Memoirs of the American Mathematical Society)

Invariant Measures for Unitary Groups Associated to Kac-Moody Lie Algebras (Memoirs of the American Mathematical Society)

[PDF.yy06] Invariant Measures for Unitary Groups Associated to Kac-Moody Lie Algebras (Memoirs of the American Mathematical Society)

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 | #9298764 in Books |  2000-07 | Original language:English | PDF # 1 |  10.25 x7.25 x.25l,.59 | File type: PDF | 125 pages

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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 ar...

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