--- product_id: 8904089 title: "Representation Theory: A First Course (Graduate Texts in Mathematics, 129)" price: "₹ 14624" currency: INR in_stock: true reviews_count: 11 url: https://www.desertcart.in/products/8904089-representation-theory-a-first-course-graduate-texts-in-mathematics-129 store_origin: IN region: India --- # Representation Theory: A First Course (Graduate Texts in Mathematics, 129) **Price:** ₹ 14624 **Availability:** ✅ In Stock ## Quick Answers - **What is this?** Representation Theory: A First Course (Graduate Texts in Mathematics, 129) - **How much does it cost?** ₹ 14624 with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.in](https://www.desertcart.in/products/8904089-representation-theory-a-first-course-graduate-texts-in-mathematics-129) ## Best For - Customers looking for quality international products ## Why This Product - Free international shipping included - Worldwide delivery with tracking - 15-day hassle-free returns ## Description The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific. Review: Wow. - This book is insanely huge and insanely in-depth. I'm still just barely skimming the surface of the material, but I'm loving the book itself. Great appendices to help the reader catch up with the basic material needed to undertake what's to come. Useful "solutions to selected problems" section. I love the lay-out of the sections, too. Every subject is broken up into manageable/digestible sections (or, at least, as manageable as a book on the subject can hope to be). I've never taken a course in Representation Theory, so I thought this might be a good book to check out to get the basics on a subject that I have some interest in pursuing more in depth at some point. Thankfully, that's exactly what the authours intended this book to be (they even say as much in the introduction)! I'm definitely plodding my way through the material, but it's a fun book to take a bit at a time on one's own time and at one's own pace. Honestly, if I were using this text in a class with a finite amount of time to cover the material, I'm pretty sure I'd feel overwhelmed because it IS dense and it DOES leave a lot "left to the reader" (that dreaded phrase!). But all in all, this struck me as one of the most solid and in-depth entry-level Representation Theory texts from the selection I perused before making a purchasing choice. Review: good example driven supplement - I first read this book when I was transitioning from undergraduate to graduate school. It is example-driven and the general theory is difficult to find, but I think when coupled with a more theory-driven book like Humphreys' _Introduction to Lie Algebras and Representation Theory_ it can make a very nice companion. In fact, reading these two books is how I began to learn about representation theory of semisimple complex Lie algebras / groups. Some of the material (like Weyl's construction for irreducible representations of the orthogonal and symplectic groups) in Fulton-Harris is not readily found in other introductory books so I appreciated that it gave me exposure to topics that might otherwise only be found in research papers. Even after finishing my PhD (which did use the material in this book), I continue to find myself using this book as a reference. ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | #678,842 in Books ( See Top 100 in Books ) #58 in Group Theory (Books) #389 in Calculus (Books) #847 in Algebra | | Customer Reviews | 4.6 out of 5 stars 55 Reviews | ## Images ![Representation Theory: A First Course (Graduate Texts in Mathematics, 129) - Image 1](https://m.media-amazon.com/images/I/61iuEG6m9CL.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ Wow. *by J***R on July 3, 2019* This book is insanely huge and insanely in-depth. I'm still just barely skimming the surface of the material, but I'm loving the book itself. Great appendices to help the reader catch up with the basic material needed to undertake what's to come. Useful "solutions to selected problems" section. I love the lay-out of the sections, too. Every subject is broken up into manageable/digestible sections (or, at least, as manageable as a book on the subject can hope to be). I've never taken a course in Representation Theory, so I thought this might be a good book to check out to get the basics on a subject that I have some interest in pursuing more in depth at some point. Thankfully, that's exactly what the authours intended this book to be (they even say as much in the introduction)! I'm definitely plodding my way through the material, but it's a fun book to take a bit at a time on one's own time and at one's own pace. Honestly, if I were using this text in a class with a finite amount of time to cover the material, I'm pretty sure I'd feel overwhelmed because it IS dense and it DOES leave a lot "left to the reader" (that dreaded phrase!). But all in all, this struck me as one of the most solid and in-depth entry-level Representation Theory texts from the selection I perused before making a purchasing choice. ### ⭐⭐⭐⭐⭐ good example driven supplement *by S***M on August 21, 2013* I first read this book when I was transitioning from undergraduate to graduate school. It is example-driven and the general theory is difficult to find, but I think when coupled with a more theory-driven book like Humphreys' _Introduction to Lie Algebras and Representation Theory_ it can make a very nice companion. In fact, reading these two books is how I began to learn about representation theory of semisimple complex Lie algebras / groups. Some of the material (like Weyl's construction for irreducible representations of the orthogonal and symplectic groups) in Fulton-Harris is not readily found in other introductory books so I appreciated that it gave me exposure to topics that might otherwise only be found in research papers. Even after finishing my PhD (which did use the material in this book), I continue to find myself using this book as a reference. ### ⭐⭐⭐⭐⭐ very good book *by P***N on November 1, 2012* The book is greet as a textbook. It maybe a little difficult for one to read himself. Maybe humpery's pay more attention to thoery of lie algebra. Two books maybe combined. ## Frequently Bought Together - Representation Theory: A First Course: 129 (Graduate Texts in Mathematics) - Algebraic Topology - An Introduction to Manifolds: 0 (Universitext) --- ## Why Shop on Desertcart? - 🛒 **Trusted by 1.3+ Million Shoppers** — Serving international shoppers since 2016 - 🌍 **Shop Globally** — Access 737+ million products across 21 categories - 💰 **No Hidden Fees** — All customs, duties, and taxes included in the price - 🔄 **15-Day Free Returns** — Hassle-free returns (30 days for PRO members) - 🔒 **Secure Payments** — Trusted payment options with buyer protection - ⭐ **TrustPilot Rated 4.5/5** — Based on 8,000+ happy customer reviews **Shop now:** [https://www.desertcart.in/products/8904089-representation-theory-a-first-course-graduate-texts-in-mathematics-129](https://www.desertcart.in/products/8904089-representation-theory-a-first-course-graduate-texts-in-mathematics-129) --- *Product available on Desertcart India* *Store origin: IN* *Last updated: 2026-09-04*