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020 _a9788195782956
040 _aNISER LIBRARY
_cNISER LIBRARY
041 _aEnglish
082 _a512.812
_bRAG-L
100 _aRaghunathan, M. S.
245 _aLie groups and lie algebras
260 _aNew Delhi:
_bHindustan Book Agency,
_c2024.
300 _axi,146p.
_bHbk.
490 _aTexts and Readings in Mathematics
_v85
500 _aIncludes references, index, and the alphabet in Roman and Gothic scripts
520 _aThis 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.
650 _aLie Groups.
650 _aLie Algebras
942 _cN
_2udc
999 _c34695
_d34695