Continuous linear representations [electronic resource] / Zolt�an Magyar.
Material type:
TextSeries: North-Holland mathematics studies ; 168.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1992. Description: 1 online resource (vii, 301 p.)Content type: text Media type: computer Carrier type: online resourceSubject(s): Lie groups | Representations of groups | Lie, Groupes de | Repr�esentations de groupes | Lie, groupes de | Repr�esentations de groupes | Alg�ebre lin�eaire | Lie groups | Representations of groupsGenre/Form: Electronic books.Additional physical formats: Print version:: Continuous linear representations.DDC classification: 512/.55 LOC classification: QA387 | .M34 1992ebOnline resources: ScienceDirect Summary: This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the Galilean and Poinca�r groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature. Each chapter includes exercises.
This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the Galilean and Poinca�r groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature. Each chapter includes exercises.
Includes bibliographical references (p. 283-290) and indexes.
Description based on print version record.
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