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008			140928s2000 riu ob 000 0 eng
020			_a9781470402846 (online)
040			_aDLC _cDLC _dDLC _dRPAM
050	0	0	_aQA3 _b.A57 no. 693 _aQA252.3
082	0	0	_a510 s _a512/.55 _221
100	1		_aPickrell, Doug, _d1952-
245	1	0	_aInvariant measures for unitary groups associated to Kac-Moody Lie algebras / _h[electronic resource] _cDoug Pickrell.
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2000.
300			_a1 online resource (ix, 125 p.)
490	0		_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 693
500			_a"July 2000, volume 146, number 693 (second of 5 numbers)."
504			_aIncludes bibliographical references (p. 123-125).
505	0	0	_tGeneral introduction _tI. General theory _t1. The formal completions of $G(A)$ and $G(A)/B$ _t2. Measures on the formal flag space _tII. Infinite classical groups _t0. Introduction for Part II _t1. Measures on the formal flag space _t2. The case $\mathfrak {g} = sl(\infty , \mathbb {C})$ _t3. The case $\mathfrak {g} = sl(2\infty , \mathbb {C})$ _t4. The cases $\mathfrak {g} = o(2\infty , \mathbb {C})$, $o(2\infty + 1, \mathbb {C})$, and $sp(\infty , \mathbb {C})$ _tIII. Loop groups _t0. Introduction for Part III _t1. Extensions of loop groups _t2. Completions of loop groups _t3. Existence of the measures $\nu _{\beta ,k}$, $\beta > 0$ _t4. Existence of invariant measures _tIV. Diffeomorphisms of $S^1$ _t0. Introduction for Part IV _t1. Completions and classical analysis _t2. The extension $\hat {\mathcal {D}}$ and determinant formulas _t3. The measures $\nu _{\beta ,c,h}$, $\beta > 0$, $c,h \geq 0$ _t4. On existence of invariant measures
506	1		_aAccess is restricted to licensed institutions
533			_aElectronic reproduction. _bProvidence, Rhode Island : _cAmerican Mathematical Society. _d2012
538			_aMode of access : World Wide Web
588			_aDescription based on print version record.
650		0	_aKac-Moody algebras.
650		0	_aInvariant measures.
650		0	_aUnitary groups.
776	0		_iPrint version: _aPickrell, Doug, 1952- _tInvariant measures for unitary groups associated to Kac-Moody Lie algebras / _w(DLC) 00036256 _x0065-9266 _z9780821820681
786			_dAmerican mathematical Society
856	4		_3Contents _uhttp://www.ams.org/memo/0693
856	4		_3Contents _uhttp://dx.doi.org/10.1090/memo/0693
942			_2EBK13146 _cEBK
999			_c42440 _d42440