000 01827nam a2200313Ia 4500
003 OSt
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020 _a9788195782956
040 _cIISER-BPR
041 _aENG
082 _a512.482
_bRAG
_223rd
100 _aRaghunathan, M. S.
222 _aMathematics
245 0 _aLie groups and lie algebras
250 _a1st ed.
260 _aNew Delhi:
_bHindistan Book Agency,
_cc2024
300 _axi, 147p. :
_bhbk. ;
_c24cm.
440 _aTexts and readings in mathematics
_vVol. 85
520 _a This is a textbook meant to be used at the advanced undergraduate or graduate level. It is an introduction to the theory of Lie groups and Lie algebras. The book treats real and p-adic groups in a unified manner. The first chapter outlines preliminary material that is used in the rest of the book. The second chapter is on analytic functions and is of an elementary nature; this material is included to cater to students who may not be familiar with p-adic fields. The third chapter introduces analytic manifolds and contains standard material; the only notable feature being that it covers both real and p-adic analytic manifolds. Chapters 4 and 5 are on Lie groups. All the standard results on Lie groups are proved here. Some of the proofs are different from those in the earlier literature. The last two chapters are on Lie algebras and cover their structure theory as found in the first of the Bourbaki volumes on the subject. Some proofs here are new. Includes bibliographic references, index and the alphabet in roman and gothic scripts.
650 _aMathematics
650 _aAlgebra
650 _aRings
650 _aLie algebras and groups
942 _cBK
_2ddc
942 _2ddc
947 _a4664.24
948 _a0.22
999 _c4093
_d4093