TY  - BOOK
AU  - Pickrell,Doug
TI  - Invariant measures for unitary groups associated to Kac-Moody Lie algebras
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470402846 (online)
AV  - QA3QA252.3 .A57 no. 693
U1  - 510 s512/.55 21
PY  - 2000///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Kac-Moody algebras
KW  - Invariant measures
KW  - Unitary groups
N1  - "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 $\mathfrak {g} = sl(\infty , \mathbb {C})$; 3. The case $\mathfrak {g} = sl(2\infty , \mathbb {C})$; 4. The cases $\mathfrak {g} = o(2\infty , \mathbb {C})$, $o(2\infty + 1, \mathbb {C})$, and $sp(\infty , \mathbb {C})$; III. Loop groups; 0. Introduction for Part III; 1. Extensions of loop groups; 2. Completions of loop groups; 3. Existence of the measures $\nu _{\beta ,k}$, $\beta > 0$; 4. Existence of invariant measures; IV. Diffeomorphisms of $S^1$; 0. Introduction for Part IV; 1. Completions and classical analysis; 2. The extension $\hat {\mathcal {D}}$ and determinant formulas; 3. The measures $\nu _{\beta ,c,h}$, $\beta > 0$, $c,h \geq 0$; 4. On existence of invariant measures; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0693
UR  - http://dx.doi.org/10.1090/memo/0693
ER  -