國立虎尾科技大學 |

Lectures in Algebraic Combinatorics = Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures in Algebraic Combinatorics/ by Adriano M. Garsia, Ömer Eğecioğlu.
其他題名:	Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /
作者:	Garsia, Adriano M.
其他作者:	Eğecioğlu, Ömer.
面頁冊數:	XIV, 232 p. 36 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebra. -
電子資源:	https://doi.org/10.1007/978-3-030-58373-6
ISBN:	9783030583736

Lectures in Algebraic Combinatorics = Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /
Garsia, Adriano M.

Lectures in Algebraic CombinatoricsYoung's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /[electronic resource] :by Adriano M. Garsia, Ömer Eğecioğlu. - 1st ed. 2020. - XIV, 232 p. 36 illus.online resource. - Lecture Notes in Mathematics,22770075-8434 ;. - Lecture Notes in Mathematics,2144.

Capturing 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.

ISBN: 9783030583736

Standard No.: 10.1007/978-3-030-58373-6doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA247-247.45

Dewey Class. No.: 512.3

Lectures in Algebraic Combinatorics = Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /
LDR:02708nam a22003975i 4500 001 1030213
003 DE-He213
005 20201006140940.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030583736 $9 978-3-030-58373-6
024 7 $a 10.1007/978-3-030-58373-6 $2 doi
035 $a 978-3-030-58373-6
050 4 $a QA247-247.45
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.3 $2 23
100 1 $a Garsia, Adriano M. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1327061
245 1 0 $a Lectures in Algebraic Combinatorics $h [electronic resource] : $b Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields / $c by Adriano M. Garsia, Ömer Eğecioğlu.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XIV, 232 p. 36 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2277
520 $a Capturing 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.
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Field theory (Physics). $3 685987
650 0 $a Group theory. $3 527791
650 0 $a Commutative algebra. $3 672047
650 0 $a Commutative rings. $3 672474
650 1 4 $a Field Theory and Polynomials. $3 672025
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Commutative Rings and Algebras. $3 672054
700 1 $a Eğecioğlu, Ömer. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1327062
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030583729
776 0 8 $i Printed edition: $z 9783030583743
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-030-58373-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)