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Jun 10, 2024 · Schur’s lemma is one of the fundamental facts of representation theory. It concerns basic properties of the hom-sets between irreducible linear representations of groups. The lemma consists of two parts that depend on different assumptions (a distinction often not highlighted in the literature): The first statement applies over every ground field:
Jun 8, 2024 · Anna Tutubalina. Part of the book series: Moscow Lectures ( (ML,volume 10)) 69 Accesses. Abstract. Along with symmetric polynomials we can consider skew-symmetric polynomials. Let us find out some things about them. Download to read the full chapter text. Chapter PDF. Author information. Authors and Affiliations. GTIIT, Shantou, Guangdong, China.
Jun 17, 2024 · In [ Wac85], it is proven that flagged Schur polynomials can be obtained via divided difference operators: s λ, b ( x) = ∂ w ( x 1 a 1 ⋯ x m a m) where a i = λ i + b i − i and. w = ( m, m + 1, …, b m − 1, m − 1, m, …, b m − 1 − 1, … 1, 2, …, b 1 − 1) and the entries in the word are applied from left to right.
Jun 19, 2024 · Connections between cyclotomic web categories and finite $W$-algebras are established, leading to a diagrammatic presentation of idempotent subalgebras of $W$-Schur algebras introduced by Brundan-Kleshchev.
Jun 28, 2024 · Hölder's inequality. In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces . Hölder's inequality — Let (S, Σ, μ) be a measure space and let p, q ∈ [1, ∞] with 1/p + 1/q = 1. Then for all measurable real - or complex ...
Jun 27, 2024 · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
Jun 29, 2024 · Schur Function -- from Wolfram MathWorld. Calculus and Analysis. Special Functions. Orthogonal Polynomials.
