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A doubt in the proof of Combinatorial nullstellensatz

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#extremal-combinatorics #algebraic-combinatorics
492
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Equality like Pascal triangle

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#combinatorics #mathematical-physics #combinatorial-proofs #algebraic-combinatorics
299
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Find the closed form of $\sum\limits_{k=0}^n \frac{1}{n\choose k}$: Incomplete Beta function in a combinatoric question

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#combinatorics #summation #binomial-coefficients #beta-function #algebraic-combinatorics
66
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Plethysm with Basis?

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#linear-algebra #representation-theory #algebraic-combinatorics
79
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Is there anywhere some explicit Bruhat decompositions are written down?

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#reference-request #representation-theory #algebraic-groups #algebraic-combinatorics
131
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Algebraic Combinatorics about a Finite Graph

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#linear-algebra #combinatorics #graph-theory #algebraic-combinatorics
7.9k
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Use of rook polynomials

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#combinatorics #discrete-mathematics #polynomials #permutations #algebraic-combinatorics
944
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Properties of the 'forgotten' symmetric polynomials

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#combinatorics #symmetric-polynomials #symmetric-functions #algebraic-combinatorics
532
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Proving Identities using Partition and Generating Function

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#combinatorics #generating-functions #integer-partitions #algebraic-combinatorics
94
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What do you get when you pull the Bruhat Decomposition back to the Lie algebra via the exponential map?

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#lie-groups #lie-algebras #algebraic-groups #algebraic-combinatorics
289
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Generalization of Binary Bracketing

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#combinatorics #algebraic-combinatorics
265
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Algebraic proof of $\sum_{k}\binom{n}{2k}\binom{2k}{k}2^{n-2k}=\binom{2n}n$ (Combinatoric proof is given)

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#combinatorics #contest-math #alternative-proof #combinatorial-proofs #algebraic-combinatorics
63
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Combinatorial proof of the identity relating Hurwitz numbers

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#combinatorics #symmetric-groups #combinatorial-proofs #algebraic-combinatorics
86
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Combinatorics in a $n \times n$ grid

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#combinatorics #algebraic-combinatorics
66
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Counting covered pairs of integer partitions

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#combinatorics #integer-partitions #algebraic-combinatorics

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