Results 11 to 20 of about 1,680 (247)
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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The structure of certain unitary representations of infinite symmetric groups [PDF]
Transactions of the American Mathematical Society, 1972 Let S be an infinite set, β \beta
Arthur Lieberman
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Large N and large representations of Schur line defect correlators
Journal of High Energy Physics, 2023 We study the large N and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular representations for 𝒩 = 4 U(N) super Yang-Mills theory.
Yasuyuki Hatsuda, Tadashi Okazaki
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Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces [PDF]
, 2021 We define a Toledo number for actions of surface groups and complex hyperbolic lattices on infinite dimensional Hermitian symmetric spaces, which allows us to define maximal representations.
Duchesne, Bruno +2 more
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Induced Representations of the Infinite Symmetric Group [PDF]
Pure and Applied Mathematics Quarterly, 2007 We study the representations of the infinite symmetric group induced from the identity representations of Young subgroups. It turns out that such induced representations can be either of type I or of type II. Each Young subgroup corresponds to a partition of the set of positive integers; depending on the sizes of blocks of this partition, we divide ...
N. V. Tsilevich, A. M. Vershik
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The invariants of the third symmetric power representation of SL_2(F_p) [PDF]
, 2010 For a prime p>3, we compute a finite generating set for the SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and ...
R. James Shank +3 more
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Yang-Baxter representations of the infinite symmetric group [PDF]
Advances in Mathematics, 2019 Every unitary involutive solution of the quantum Yang-Baxter equation ("R-matrix") defines an extremal character and a representation of the infinite symmetric group $S_\infty$. We give a complete classification of all such Yang-Baxter characters and determine which extremal characters of $S_\infty$ are of Yang-Baxter form.
Lechner, Gandalf +2 more
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Combinatorics of Reflection Groups and Real Algebraic Geometry [PDF]
, 2022 Real algebraic geometry studies sets defined by a finite system of real polynomial equalities and inequalities. A central topic in this area is the study of the cone of nonnegative polynomials.
Debus, Sebastian
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Certain unitary representations of the infinite symmetric group, II [PDF]
Nagoya Mathematical Journal, 1987 The infinite symmetric group is the discrete group of all finite permutations of the set X of all natural numbers. Among discrete groups, it has distinctive features from the viewpoint of representation theory and harmonic analysis. First, it is one of the most typical ICC-groups as well as free groups and known to be a group of non-type I.
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Stable states and representations of the infinite symmetric group
Doklady Mathematics, 2012 We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which generalize the classical notion of the characters (or trace). We give the complete description of this class for infinite symmetric group ${\frak S}_{\Bbb N}$.
Vershik, A. M., Nessonov, N. I.
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