Academics
This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson–Schensted–Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur–Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.
Amritanshu Prasad has written on topics covering the wide spectrum of life and themes that affect us at some point of time or the other. He enjoys writing on Management topics and satires as well as topical issues and also has a penchant for English prose and poetry. A Post Graduate in Economics from St. Stephen's College, Delhi and an MBA from BIT Mesra, he has profound experience in leading organisations in the field of HRM, Business Development and Corporate Affairs. He has an excellent track-record of managing the Human Resources & Industrial Relations as well as business development function in Indian as well as transnational context both at the strategic as well as operational level. Recipient of several awards and recognitions, he has authored many papers and management articles and has represented his organisations in several national and international seminars. His interests comprise literature, music, sports, socio-economic issues and poetry. ?Magic of the Mind? is his first collection of work in poetry.
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