000 01869nam a2200313Ia 4500
003 OSt
005 20250125153710.0
008 241112s9999 xx 000 0 und d
020 _a9788195782956 (hbk.)
_c₹ 525.00
040 _bENG
_cIISER-BPR
041 _aENG
082 _a512.482
_bRAG
_223rd
100 _aRaghunathan, M. S.
_91104
222 _aMathematics
245 0 _aLie groups and lie algebras
250 _a1st ed.
260 _aNew Delhi:
_bHindustan Book Agency,
_cc2024.
300 _axi, 147p. :
_c24cm
440 _aTexts and Readings in Mathematics
_vVol. 85
_92629
504 _aIncludes bibliographic references, subject index and the alphabet in roman and gothic scripts list.
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 _aMathematics
_92630
650 _aAlgebra
_92631
650 _aLie algebras and groups
_92632
942 _cBK
_2ddc
942 _2ddc
947 _a525
948 _a22
999 _c4244
_d4244