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Akademický článek
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Autor:
Willenbring, Jeb F.
Publikováno v:
Transactions of the American Mathematical Society, 2002 Nov 01. 354(11), 4393-4419.
Externí odkaz:
https://www.jstor.org/stable/3072904
Autor:
Hong-Jiong, Tian, Jiao-Xun, Kuang
Publikováno v:
SIAM Journal on Numerical Analysis, 1996 Jun 01. 33(3), 883-889.
Externí odkaz:
https://www.jstor.org/stable/2158487
Autor:
Prasad Chaugule, Mrinal Kumar, Nutan Limaye, Chandra Kanta Mohapatra, Adrian She, Srikanth Srinivasan
Publikováno v:
Chaugule, P, Kumar, M, Limaye, N, Mohapatra, C K, She, A & Srinivasan, S 2023, ' Schur Polynomials Do Not Have Small Formulas If the Determinant does not ', Computational Complexity, vol. 32, no. 1, 3 . https://doi.org/10.1007/s00037-023-00236-x
Schur Polynomials are families of symmetric polynomialsthat have been classically studied in Combinatorics and Algebra alike.They play a central role in the study of symmetric functions, in Representationtheory Stanley (1999), in Schubert calculus Le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::757e62c08019b4e172fa0235741806d6
https://pure.au.dk/portal/da/publications/schur-polynomials-do-not-have-small-formulas-if-the-determinant-does-not(95d7fde2-ce23-415a-b3cb-93117ea314e7).html
https://pure.au.dk/portal/da/publications/schur-polynomials-do-not-have-small-formulas-if-the-determinant-does-not(95d7fde2-ce23-415a-b3cb-93117ea314e7).html
Autor:
Yu, Lin
This study centers on Schur polynomials, which are a linear basis of the ring of symmetric polynomials and have significant applications in representation theory. Our focus is on decreasing operators, which are well-defined for Schur polynomials and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e119e11458667fdde9479c1e26152de9
Publikováno v:
Entropy, Vol 22, Iss 9, p 972 (2020)
We introduce a family of models, which we name matrix models associated with children’s drawings—the so-called dessin d’enfant. Dessins d’enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky). The ver
Externí odkaz:
https://doaj.org/article/ce63cfb241f04259a2c2f38eb0b6019d
Autor:
Apoorva Khare
Publikováno v:
Transactions of the American Mathematical Society. 375:2217-2236
A special case of a fundamental result of Loewner and Horn [Trans. Amer. Math. Soc. 1969] says that given an integer $n \geq 1$, if the entrywise application of a smooth function $f : (0,\infty) \to \mathbb{R}$ preserves the set of $n \times n$ posit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb5a2b268d62a3e5216764ddd6c25501
https://doi.org/10.1090/tran/8563
https://doi.org/10.1090/tran/8563
Publikováno v:
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, Vol 39, Iss 2, Pp 81-90 (2021)
In this paper, for the complex Lie algebra sl3 we propose an explicit formula for finding the multiplicity of the weight of the irreducible representation Γλ, which is determined by its higher weight λ = (a,b). The set of all weights Λ of such a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8ec2aef96a73abc7cd7ddc22156ee23
https://doi.org/10.24144/2616-7700.2021.39(2).81-90
https://doi.org/10.24144/2616-7700.2021.39(2).81-90
Publikováno v:
Algebra Colloquium. 28:379-398
Let $\ell, n$ be positive integers such that $\ell\geq n$. Let $\mathbb{G}_{n,\ell}$ be the Grassmannian which consists of the set of $n$-dimensional subspaces of $\mathbb{C}^{\ell}$. There is a $\mathbb{Z}$-graded algebra isomorphism between the coh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34d5eeac4d650f27b28da57fcd07ae7f
https://doi.org/10.1142/s1005386721000304
https://doi.org/10.1142/s1005386721000304