Results 21 to 30 of about 2,715,472 (212)
The Electronic Journal of Combinatorics, 2004 We give a basis for the space spanned by the sum $\hat{s}_\lambda$ of the lowest degree terms in the expansion of the Schur symmetric functions $s_\lambda$ in terms of the power sum symmetric functions $p_\mu$, where deg$(p_i)=1$. These lowest degree terms correspond to minimal border strip tableaux of $\lambda$. The dimension of the space spanned by
Peter Clifford, Richard P. Stanley
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Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach [PDF]
Proceedings of the American Mathematical Society, 2021 An identity is derived expressing Schur functions as sums over products of pairs of Schur Q Q -functions, generalizing ...
Harnad, J., Orlov, A. Yu.
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as selfâinterest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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Row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as ...
Sarah K Mason, Jeffrey Remmel
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Immaculate basis of the non-commutative symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric ...
Chris Berg +4 more
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Positivity properties for q-Schur algebras. [PDF]
, 1997 We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln).
Green, R. M.
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Multiplicity Free Schur, Skew Schur, and Quasisymmetric Schur Functions [PDF]
Annals of Combinatorics, 2013 In this paper we classify all Schur functions and skew Schur functions that are multiplicity free when expanded in the basis of fundamental quasisymmetric functions, termed F-multiplicity free. Combinatorially, this is equivalent to classifying all skew shapes whose standard Young tableaux have distinct descent sets. We then generalize our setting, and
Bessenrodt, C., van Willigenburg, S.
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Bilinear character correlators in superintegrable theory
European Physical Journal C: Particles and Fields, 2023 We continue investigating the superintegrability property of matrix models, i.e. factorization of the matrix model averages of characters. This paper focuses on the Gaussian Hermitian example, where the role of characters is played by the Schur functions.
A. Mironov, A. Morozov
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The Schur transform of a generalized Schur function and operator realizations [PDF]
, 2005 Het proefschrift van Gerald Wanjala bouwt voort op werk van de wiskundige Issai Schur uit het begin van de vorige eeuw. Destijds vormde dit het beginpunt van een nieuw onderdeel in de wiskunde: de Schur-analyse.
Wanjala, Gerald, +3 more
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A generalization of $(q,t)$-Catalan and nabla operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce non-commutative analogs of $k$-Schur functions and prove that their images by the non-commutative nabla operator $\blacktriangledown$ is ribbon Schur positive, up to a global sign.
N. Bergeron, F. Descouens, M. Zabrocki
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