{"product_id":"an-invitation-to-representation-theory-polynomial-representations-of-the-symmetric-group-paperback","title":"An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eR. Michael Howe\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePreface\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e Introduction\u003c\/p\u003e\u003cp\u003e Chapter 1. First Steps\u003c\/p\u003e\u003cp\u003e Chapter 2. Polynomials, Subspaces, and Subrepresentations\u003c\/p\u003e\u003cp\u003e Chapter 3. Intertwining Maps, Complete Reducibility, and Invariant Inner Products\u003c\/p\u003e Chapter 4. The Structure of the Symmetric Group\u003cp\u003e\u003c\/p\u003e\u003cp\u003e Chapter 5. Sn Decomposition of Polynomial Spaces for n= 1,2,3.\u003c\/p\u003e\u003cp\u003e Chapter 6. The Group Algebra\u003c\/p\u003e\u003cp\u003e Chapter 7. The Irreducible Representations of Sn: Characters\u003c\/p\u003e\u003cp\u003e Chapter 8. The Irreducible Representations of Sn: Young Symmetrizers\u003c\/p\u003e\u003cp\u003e Chapter 9. Cosets, Restricted and Induced Representations\u003c\/p\u003e\u003cp\u003e Chapter 10. Direct Products of Groups, Young Subgroups and Permutation Modules\u003c\/p\u003e\u003cp\u003e Chapter 11. Specht Modules\u003c\/p\u003e\u003cp\u003e Chapter 12. Decomposition of Young Permutation Modules\u003c\/p\u003e\u003cp\u003e Chapter 13. Branching Relations\u003c\/p\u003e\u003cp\u003e Bibliography \u003c\/p\u003e\u003cp\u003e Index \u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003ci\u003eAn Invitation to Representation Theory \u003c\/i\u003eoffers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory.\u003cbr\u003eThe subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry. It can however be daunting for beginners and inaccessible to undergraduates. The symmetric group and its natural action on polynomial spaces provide a rich yet accessible model to study, serving as a prototype for other groups and their representations. This book uses this key example to motivate the subject, developing the notions of groups and group representations concurrently.\u003cbr\u003eWith prerequisites limited to a solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, for instance in a topics class or a reading course. A substantial amount of content is presented in over 250 exercises with complete solutions, making it well-suited for guided study.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eR. Michael Howe\u003c\/b\u003e spent 20 years in various roles in the music industry and earned a PhD in mathematics at the University of Iowa, becoming a professor at the University of Wisconsin-Eau Claire, where he is now Emeritus Professor. As a mathematics professor he has supervised research and independent study projects of scores of undergraduate students, at least a dozen of whom have gone on to earn a PhD in mathematics. He still enjoys playing music and his other hobbies include hiking, mountaineering, kayaking, biking and skiing.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 229\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.69 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 29, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52704620151091,"sku":"9783030980245","price":79.88,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/b0hMWUdZVnd2d1Z4bnZWVURhRThOdz09.webp?v=1763362694","url":"https:\/\/www.vysn.com\/products\/an-invitation-to-representation-theory-polynomial-representations-of-the-symmetric-group-paperback","provider":"VYSN","version":"1.0","type":"link"}