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Pickrell, Doug, 1952-

Invariant measures for unitary groups associated to Kac-Moody Lie algebras / [electronic resource] Doug Pickrell. - Providence, R.I. : American Mathematical Society, c2000. - 1 online resource (ix, 125 p.) - Memoirs of the American Mathematical Society, v. 693 0065-9266 (print); 1947-6221 (online); .

"July 2000, volume 146, number 693 (second of 5 numbers)."

Includes bibliographical references (p. 123-125).

General introduction I. General theory 1. The formal completions of $G(A)$ and $G(A)/B$ 2. Measures on the formal flag space II. Infinite classical groups 0. Introduction for Part II 1. Measures on the formal flag space 2. The case $\mathfrak = sl(\infty , \mathbb )$ 3. The case $\mathfrak = sl(2\infty , \mathbb )$ 4. The cases $\mathfrak = o(2\infty , \mathbb )$, $o(2\infty + 1, \mathbb )$, and $sp(\infty , \mathbb )$ III. Loop groups 0. Introduction for Part III 1. Extensions of loop groups 2. Completions of loop groups 3. Existence of the measures $
u _$, $\beta > 0$ 4. Existence of invariant measures IV. Diffeomorphisms of $S^1$ 0. Introduction for Part IV 1. Completions and classical analysis 2. The extension $\hat }$ and determinant formulas 3. The measures $
u _$, $\beta > 0$, $c,h \geq 0$ 4. On existence of invariant measures

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470402846 (online)

Subjects--Topical Terms:
Kac-Moody algebras.
Invariant measures.
Unitary groups.

LC Class. No.: QA3 QA252.3 / .A57 no. 693

Dewey Class. No.: 510 s 512/.55