Three of the leading figures in the field have composed this excellent introduction to the theory of Lie groups and Lie algebras. Together these lectures provide an elementary account of the theory that is unsurpassed. In the first part, Roger Carter concentrates on Lie algebras and root systems. In the second Graeme Segal discusses Lie groups. And in the final part, Ian Macdonald gives an introduction to special linear groups. Graduate students requiring an introduction to the theory of Lie groups and their applications should look no further than this book.
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'The rapid pace and variety of subject matter make this a very readable book.' Mathematika
Book Description
Three of the leading figures in the field have composed this excellent introduction to the theory of Lie groups and Lie algebras. Together their lectures provide an elementary account of the theory and its applications for graduate students that is unsurpassed.
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8 of 8 people found the following review helpful:
5.0 out of 5 stars
A very recommanded book on the subject,
By G.B.S "17" (Europe) - See all my reviews
This review is from: Lectures on Lie Groups and Lie Algebras (London Mathematical Society Student Texts) (Paperback)
This book is an introduction to the subject of Lie groups and Lie algebras. This is a general overview on the subject for students with no background on the subject. There are almost no proofs and this is not a text book. Nevertheless for the mature reader (say someone toward the end of his graduate studies) this is an amazing general introduction. It is clear that a lot of effort was used in order to give the reader as much knowledge as possible with minimal technical details as possible. Intuitive arguments are used when ever possible and motivation is there all along the way. The writing is very elegant and it is clear that the writers are masters in their field. So, if you want an overview on the subject and you do not need to go into technical details look no further then this book.
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First Sentence:
A Lie algebra is a vector space g over a field F on which a multiplication Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linear algebraic group, twisted groups, affine algebraic variety, affine algebraic varieties, maximal tori, bijective homomorphism, ringed space, closed normal subgroup, finite simple groups, algebraic groups, maximal torus, maximal compact subgroup, invariant inner product, fundamental weights, fundamental roots, closed subgroup, spin representation, double covering, projective variety, affine varieties, isotropy group, exterior powers Key Phrases - Capitalized Phrases (CAPs): (learn more)
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A Lie algebra is a vector space g over a field F on which a multiplication Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linear algebraic group, twisted groups, affine algebraic variety, affine algebraic varieties, maximal tori, bijective homomorphism, ringed space, closed normal subgroup, finite simple groups, algebraic groups, maximal torus, maximal compact subgroup, invariant inner product, fundamental weights, fundamental roots, closed subgroup, spin representation, double covering, projective variety, affine varieties, isotropy group, exterior powers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Grassmannian Grk New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
books:
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21
books
cite this book:
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- Linear Algebraic Groups (Graduate Texts in Mathematics) by Armand Borel on page 133, page 135, and Back Matter
- Lie Algebras (Dover Books on Mathematics) by Nathan Jacobson in Front Matter, and Back Matter
- Simple Groups of Lie Type (Wiley Classics Library) by Roger W. Carter in Front Matter, and Back Matter
- Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9) by J.E. Humphreys in Front Matter, and Back Matter
- Linear Algebraic Groups (Graduate Texts in Mathematics) by James E. Humphreys on page 135, and Back Matter
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- A Primer of Algebraic D-Modules (London Mathematical Society Student Texts) by S. C. Coutinho in Front Matter
- Lie Algebras of Finite and Affine Type (Cambridge Studies in Advanced Mathematics) by Roger Carter in Back Matter
- Presentations of Groups (London Mathematical Society Student Texts) by D. L. Johnson in Front Matter
- Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus (Lecture Notes in Mathematics) (v. 1) by David Applebaum on page 96
- A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts) by P. Wojtaszczyk in Front Matter
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