Lie Groups and Lie Algebras

M.S. Raghunathan‏

مئی 2025 · Texts and Readings in Mathematics کتاب 85 · Springer Nature

ای بک

170

صفحات

درجہ بندیوں اور جائزوں کی تصدیق نہیں کی جاتی ہے مزید جانیں

اس ای بک کے بارے میں

This is an essential textbook the advanced undergraduate and graduate students of mathematics. Organized into seven chapters, the book treats real and p-adic groups in a unified manner. Chapter 1 outlines the preliminary material that will be used in the rest of the book. Chapter 2 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. Chapter 3 introduces analytic manifolds and contains standard material. The only notable feature is that it covers both real and p-adic analytic manifolds. All the standard results on Lie groups are proved in Chaps. 4 and 5. Some of the proofs are, however, different from those in the earlier literature. Some results are not found in the literature, though they are kind of folklore among the experts in Lie theory. The last two chapters (Chaps. 6 and 7) are on Lie algebras and cover the structure theory as found in the first of the Bourbaki volumes on the subject. In these chapters, some proofs are new.

مصنف کے بارے میں

M.S. Raghunathan is a distinguished visiting professor at UM-DAE Centre of Excellence in Basic Sciences, University of Mumbai, Maharashtra, India. Earlier, he was at the Tata Institute of Fundamental Research (TIFR), Mumbai, India, from 1966–2006. After his retirement from the TIFR, he held the Homi Bhabha Chair Professorship of the Department of Atomic Energy, Government of India, from 2006–2011. He was a distinguished visiting professor at the Indian Institute of Technology Bombay. Mumbai, India. A distinguished mathematician, who has made significant contributions to the theory of algebraic groups and their discrete subgroups, has been a visiting professor at many universities in Europe, the USA, Japan and China. He is a fellow of the Royal Society and the World Academy of Sciences. He was an invited speaker at the International Congress of Mathematicians held in Nice, in 1970.

اس ای بک کی درجہ بندی کریں

ہمیں اپنی رائے سے نوازیں۔

پڑھنے کی معلومات

اسمارٹ فونز اور ٹیب لیٹس

Android اور iPad/iPhone.کیلئے Google Play کتابیں ایپ انسٹال کریں۔ یہ خودکار طور پر آپ کے اکاؤنٹ سے سینک ہو جاتی ہے اور آپ جہاں کہیں بھی ہوں آپ کو آن لائن یا آف لائن پڑھنے دیتی ہے۔

لیپ ٹاپس اور کمپیوٹرز

آپ اپنے کمپیوٹر کے ویب براؤزر کا استعمال کر کے Google Play پر خریدی گئی آڈیو بکس سن سکتے ہیں۔

ای ریڈرز اور دیگر آلات

Kobo ای ریڈرز جیسے ای-انک آلات پر پڑھنے کے لیے، آپ کو ایک فائل ڈاؤن لوڈ کرنے اور اسے اپنے آلے پر منتقل کرنے کی ضرورت ہوگی۔ فائلز تعاون یافتہ ای ریڈرز کو منتقل کرنے کے لیے تفصیلی ہیلپ سینٹر کی ہدایات کی پیروی کریں۔

غیر قانونی مواد کی اطلاع دیں