Results 11 to 20 of about 826,707 (164)
The Pieri Rule for GL n Over Finite Fields [PDF]
Operator Theory: Advances and Applications, 2020 The Pieri rule gives an explicit formula for the decomposition of the tensor product of irreducible representation of the complex general linear group GL(n,C) with a symmetric power of the standard representation on C^n. It is an important and long understood special case of the Littlewood-Richardson rule for decomposing general tensor products of ...
Roger Evans Howe, Shamgar Gurevich
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The Pieri Rule for Dual Immaculate Quasi-Symmetric Functions [PDF]
Annals of Combinatorics, 2016 14 pages, corrections from v1 and ...
Nantel Bergeron +2 more
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Journal of Combinatorial Theory - Series A, 2011 The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product of a skew Schur function and a single row Schur function in terms of skew ...
Peter Mcnamara
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Pieri rule for the affine flag variety
Advances in Mathematics, 2017 We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar's work on the equivariant ...
Seung Jin Lee
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Combinatorial Proofs of Petrie Pieri Rule and Plethystic Pieri Rule
Annals of CombinatoricsPetrie symmetric functions $G(k,n)$, also known as truncated homogeneous symmetric functions or modular complete symmetric functions, form a class of symmetric functions interpolating between the elementary symmetric functions $e_n$ and the homogeneous symmetric functions $h_n$.
Sen-Peng Eu
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A geometric proof of an equivariant Pieri rule for flag manifolds [PDF]
Forum Mathematicum, 2019 Abstract We use geometry to give a short proof of an equivariant Pieri rule in the classical flag manifold. This rule is due to Robinson, who gave an algebraic proof.
Frank Sottile, Changzheng Li
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Quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund +3 more
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Skew quantum Murnaghan-Nakayama rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power
Matjaž Konvalinka
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Bumping algorithm for set-valued shifted tableaux [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We present an insertion algorithm of Robinson–Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan.
Takeshi Ikeda +2 more
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a new description of the Pieri rule for $k$-Schur functions using the Bruhat order on the affine type-$A$ Weyl group. In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine ...
Avinash J. Dalal, Jennifer Morse
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