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15
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An infinite basis for an ad hoc vector space

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#vector-spaces #infinitary-combinatorics #algebraic-combinatorics
65
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reference request: Type A crystal proof of Schur-positivity

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#reference-request #symmetric-functions #algebraic-combinatorics
428
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There are $n$ different $3$-element subsets $A_1,A_2,...,A_n$ of the set $\{1,2,...,n\}$, with $|A_i \cap A_j| \not= 1$ for all $i \not= j$.

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#linear-algebra #combinatorics #contest-math #algebraic-combinatorics
191
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We have $n$ real numbers around the circle and among any consecutive 3 one is AM of the other two. Then all the numbers are the same or $3\mid n$.

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#linear-algebra #combinatorics #vector-spaces #algebraic-combinatorics #hamel-basis
303
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Proof of an identity about integer partition

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#combinatorics #number-theory #integer-partitions #algebraic-combinatorics
569
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Paths must cross in Lindström-Gessel-Viennot on the lattice

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#combinatorics #determinant #directed-graphs #algebraic-combinatorics
115
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Constant sum of characters

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#abstract-algebra #combinatorics #finite-fields #coding-theory #algebraic-combinatorics
222
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We are given an $18\times 18$ table, all of whose cells may be black or white.

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#linear-algebra #combinatorics #solution-verification #algebraic-combinatorics
125
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Seeking Algebraic Number Fields introductory text at amateur level.

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#combinatorics #reference-request #algebraic-number-theory #book-recommendation #algebraic-combinatorics
391
Views

"Binomial coefficients" generalized via polynomial iteration

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#polynomials #binomial-coefficients #divisibility #algebraic-combinatorics
626
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Motivation/intuition behind using linear algebra behind these combinatorics problem

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#linear-algebra #combinatorics #algebraic-combinatorics
112
Views

Hook-length formula

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#finite-groups #symmetric-groups #characters #algebraic-combinatorics
274
Views

Proof that the Lascoux-Schützenberger involutions satisfies the braid-relations

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#combinatorics #young-tableaux #algebraic-combinatorics #involutions
510
Views

How many $n$-pointed stars are there?

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#combinatorics #combinatorial-geometry #algebraic-combinatorics
166
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Applying Burnside's lemma to show there are $k+n-1 \choose k-1$ ways to store n stars in k bins?

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#combinatorics #group-actions #algebraic-combinatorics

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