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WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Algebraic Combinatorics Usingalgebrato helponecount V.Reiner MaxandRoseLorie Lecture Series GeorgeMasonUniversity January29,2010 V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Outline 1 Whatis AlgebraicCombinatorics? 2 A generalcountingproblem 3 Fourproperties 4 Analgebraicapproach V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Outline 1 Whatis AlgebraicCombinatorics? 2 A generalcountingproblem 3 Fourproperties 4 Analgebraicapproach V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Outline 1 Whatis AlgebraicCombinatorics? 2 A generalcountingproblem 3 Fourproperties 4 Analgebraicapproach V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Outline 1 Whatis AlgebraicCombinatorics? 2 A generalcountingproblem 3 Fourproperties 4 Analgebraicapproach V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary What is Algebraic Combinatorics? Combinatoricsis thestudy offinite ordiscrete objects, andtheirstructure. Countingthem isenumerativecombinatorics. Onepartofalgebraiccombinatoricsis usingalgebrato helpyou doenumerativecombinatorics. V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary What is Algebraic Combinatorics? Combinatoricsis thestudy offinite ordiscrete objects, andtheirstructure. Countingthem isenumerativecombinatorics. Onepartofalgebraiccombinatoricsis usingalgebrato helpyou doenumerativecombinatorics. V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary What is Algebraic Combinatorics? Combinatoricsis thestudy offinite ordiscrete objects, andtheirstructure. Countingthem isenumerativecombinatorics. Onepartofalgebraiccombinatoricsis usingalgebrato helpyou doenumerativecombinatorics. V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Example: enumerating subsets up to symmetry We’ll explorean interestingfamily ofexamples: Enumeratingsubsets,upto symmetry. Thishasmanyinteresting properties, some easier, some harder(withoutalgebra!). V.Reiner AlgebraicCombinatorics WhatisAlgebraicCombinatorics? Ageneralcountingproblem Fourproperties Analgebraicapproach Summary Example: enumerating subsets up to symmetry We’ll explorean interestingfamily ofexamples: Enumeratingsubsets,upto symmetry. Thishasmanyinteresting properties, some easier, some harder(withoutalgebra!). V.Reiner AlgebraicCombinatorics

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What is Algebraic Combinatorics? A general counting problem Four properties An algebraic approach Summary Algebraic Combinatorics Using algebra to help one count

Algebraic Combinatorics - Using algebra to help one count PDF

129 Pages·2011·2.61 MB·English

by V. Reiner

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by V. Reiner| 2011| 129 pages| 2.61| English

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What is Algebraic Combinatorics? A general counting problem Four properties An algebraic approach Summary Algebraic Combinatorics Using algebra to help one count

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Author:	V. Reiner
Publication Year:	2011
Pages:	129
Language:	English
File Size:	2.61
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