000			02314nam a22003375i 4500
001			91859
005			20240322135756.0
010			_a978-3-030-58373-6 _dcompra
090			_a91859
100			_a20231023d2020 k||y0pory50 ba
101	0		_aeng
102			_aCH _bCham
200	1		_aLectures in algebraic combinatorics _bDocumento eletrónico _eyoung's construction, seminormal representations, SL(2) representations, heaps, basics on finite fields _fAdriano M. Garsia, Ömer Eğecioğlu
210			_aCham _cSpringer International Publishing _d2020
215			_aXIV, 232 p. _cil.
225	2		_aLecture Notes in Mathematics _vvol. 2277
303			_aCapturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades. The topics presented share a common theme of describing interesting interplays between algebraic topics such as representation theory and elegant structures which are sometimes thought of as being outside the purview of classical combinatorics. The lectures reflect Garsia's inimitable narrative style and his exceptional expository ability. The preface presents the historical viewpoint as well as Garsia's personal insights into the subject matter. The lectures then start with a clear treatment of Alfred Young's construction of the irreducible representations of the symmetric group, seminormal representations and Morphy elements. This is followed by an elegant application of SL(2) representations to algebraic combinatorics. The last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the theory of finite fields. The book is aimed at graduate students and researchers in the field.
606			_aAlgebraic fields
606			_aPolynomials
606			_aGroup theory
606			_aCommutative algebra
606			_aCommutative rings
680			_aQA247-247.45
680			_aQA161.P59
700			_972630 _aGarsia _bAdriano M.
701			_972629 _aEğecioğlu _bÖmer _4070
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-58373-6
942			_2lcc _cF _n0