Results 11 to 20 of about 54,116 (276)
Renormalization of gauge fields: A Hopf algebra approach [PDF]
, 2006 We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf algebra ...
van Suijlekom, Walter D.
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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
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Physics Letters B, 2023 We elaborate on the recent suggestion to consider averaging of Cauchy identities for the Schur functions over power sum variables. This procedure has apparent parallels with the Borel transform, only it changes the number of combinatorial factors like dR
A. Mironov, A. Morozov
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Some Darling-Siegert relationships connected with random flights [PDF]
, 2009 We derive in detail four important results on integrals of Bessel functions from which three combinatorial identities are extracted. We present the probabilistic interpretation of these identities in terms of different types of random walks, including ...
Cammarota, Valentina +2 more
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Factorizations related to some numerical triangles
Special Matrices, 2017 An asymmetric combinatorial matrix with two free parameters is factored in 4 different ways. The results are obtained by a combination of guessing and applying combinatorial identities.
Prodinger Helmut
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Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions [PDF]
, 2019 We show that, for a certain class of partitions and an even number of variables of which half are reciprocals of the other half, Schur polynomials can be factorized into products of odd and even orthogonal characters.
Ayyer, Arvind, Behrend, Roger E.
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Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties [PDF]
, 2019 In the computation of the intersection cohomology of Shimura varieties, or of the $L^2$ cohomology of equal rank locally symmetric spaces, combinatorial identities involving averaged discrete series characters of real reductive groups play a large ...
Ehrenborg, Richard +2 more
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Some extensions of Chu's formulas and further combinatorial identities [PDF]
Mathematica BohemicaWe present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
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Down-step statistics in generalized Dyck paths [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck paths consisting of steps $\{(1, k), (1, -1)\}$ such that the path stays (weakly) above the line $y=-t$, is studied.
Andrei Asinowski +2 more
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, 1999 Recently the second named author discovered a combinatorial identity in the context of vertex representations of quantum Kac-Moody algebras. We give a direct and elementary proof of this identity. Our method is to show a related identity of distributions.
Ding, Jintai, Jing, Naihuan
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