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Module categories of analytic groups

Magid, Andy R. (1944-)

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Module categories of analytic groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Module categories of analytic groups/ Andy R. Magid.
Author:	Magid, Andy R.
Published:	Cambridge :Cambridge University Press, : 1982.,
Description:	x, 134 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Lie groups. -
Online resource:	https://doi.org/10.1017/CBO9780511897177
ISBN:	9780511897177

Module categories of analytic groups
Magid, Andy R.1944-

Module categories of analytic groups[electronic resource] /Andy R. Magid. - Cambridge :Cambridge University Press,1982. - x, 134 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;81. - Cambridge tracts in mathematics ;81..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text.

ISBN: 9780511897177Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .M33 1982

Dewey Class. No.: 512.55

Module categories of analytic groups
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020 $a 9780521242004 $q (hardback)
020 $a 9780521090278 $q (paperback)
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050 4 $a QA387 $b .M33 1982
082 0 4 $a 512.55 $2 19
090 $a QA387 $b .M194 1982
100 1 $a Magid, Andy R. $q (Andy Roy), $d 1944- $3 3470726
245 1 0 $a Module categories of analytic groups $h [electronic resource] / $c Andy R. Magid.
260 $a Cambridge : $b Cambridge University Press, $c 1982.
300 $a x, 134 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 81
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text.
650 0 $a Lie groups. $3 526114
650 0 $a Modules (Algebra) $3 594721
650 0 $a Categories (Mathematics) $3 525955
830 0 $a Cambridge tracts in mathematics ; $v 81. $3 3470727
856 4 0 $u https://doi.org/10.1017/CBO9780511897177