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Convexity properties of Hamiltonian group actions

저자: Victor Guillemin; Reyer Sjamaar
출판사: Providence, R.I. : American Mathematical Society, ©2005.
시리즈: CRM monograph series, v. 26.
판/형식:   도서 : 영어모든 판과 형식 보기
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"This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian matrices, on which considerable progress has been
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추가적인 물리적 형식: Online version:
Guillemin, Victor, 1937-
Convexity properties of Hamiltonian group actions.
Providence, R.I. : American Mathematical Society, c2005
(OCoLC)625304811
자료 유형: 인터넷 자료
문서 형식: 책, 인터넷 자원
모든 저자 / 참여자: Victor Guillemin; Reyer Sjamaar
ISBN: 0821839187 9780821839188
OCLC 번호: 61309399
설명: iv, 82 p. : ill. ; 27 cm.
내용: Ch. 1. The convexity theorem for Hamiltonian G-spaces --
Ch. 2. A constructive proof of the non-abelian convexity theorem --
Ch. 3. Some elementary examples of the convexity theorem --
Ch. 4. Kahler potentials and convexity --
Ch. 5. Applications of the convexity theorem.
일련 제목: CRM monograph series, v. 26.
책임: Victor Guillemin, Reyer Sjamaar.
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Describes convexity properties of moment mappings in symplectic geometry. This book reviews various infinite-dimensional manifestations of moment convexity, such as the Kostant type theorems for  더 읽기…

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schema:description"It reviews various infinite-dimensional manifestations of moment convexity, such as the Kostant type theorems for orbits of a loop group (due to Atiyah and Pressley) or a symplectomorphism group (due to Bloch, Flaschka and Ratiu). Finally, it gives an account of a new convexity theorem for moment map images of orbits of a Borel subgroup of a complex reductive group acing on a Kahler manifold, based on potential-theoretic methods in several complex variables."--BOOK JACKET."@en
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schema:reviewBody""This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian matrices, on which considerable progress has been made in recent years following a breakthrough by Klyachko. The book presents a simple local model for the moment polytope, valid in the "generic" case, and an elementary Morse-theoretic argument deriving the Klyachko inequalities and some of their generalizations."
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