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Showing 1 to 20 of 89 for “"Schur"”.
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Rational Schur Rings over Abelian Groups
<p>In 1993, Muzychuk showed that the rational S-rings over a cyclic group Z_n are in one-to-one correspondence with sublattices of the divisor lattice of n, or equivalently, with sublattices of the lattice of subgroups of Z_n. This idea is easily extended to show that for any finite group G, …
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Schur Weyl duality in complex rank
This thesis gives an analogue to the classical Schur-Weyl duality in the setting of Deligne categories. Given a finite-dimensional unital vector space V (i.e. a vector space V with a distinguished non-zero vector 1) we give a definition of a complex tensor power of V. This is an Ind-object of the …
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Supersymmetric Schur functions and Lie superalgebra representations
… character indeed coincides with a supersymmetric Schur function indexed by a composite partition. Again, this work gives rise to new dimension and superdimension formulas.
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Approximation of Generalized Schur Complements (Ladder Network)
The Schur complement of a linear operator on a finite dimensional Hilbert space is discussed and six generalizations are presented. Conditions are established under which these generalizations are equivalent. The infinite dimensional case is then considered and counterexamples are given to show …
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The Schur Subgroup of The Brauer Group
Made available in DSpace on 2014-12-14T13:09:26Z (GMT). No. of bitstreams: 1 7524379.pdf: 3475220 bytes, checksum: febfd64411d586ca56308400360efba9 (MD5) Previous issue date: 1975
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Comparing products of Schur functions and quasisymmetric functions
… case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity of certain differences of products of Schur functions are proved. In the first part of the work a combinatorial method is developed that allows to prove weaker versions of those conjectures. In the second part a recent result of …
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On Schur algebras, Doty coalgebras and quasi-hereditary algebras
… n and all p; iv) n = 4 and p = 3 for all r. The Schur Algebra S(n,r) is the dual of the coalgebra A(n,r), and S(n,r) we know to be quasi-hereditary. Moreover, we call a finite dimensional coalgebra quasi-hereditary if its dual algebra is quasi-hereditary and hence, in the above cases, the Doty …
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The Periodic Schur Decomposition in Linear Systems and Control
Lastly, we consider the use of the periodic Schur decomposition in solving two-point boundary value problems. We present simple, yet powerful, characterizations for the fundamental properties of solvability and conditionability. We also show that the Forward/Backward form yields simple expressions …
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Combinatorics of permutation patterns, interlacing networks, and Schur functions
… involution gives some interesting identities of Schur functions generalizing identities by Fulmek-Kleber. Then we study the balanced swap graphs, which encode a class of Schur function identities obtained this way.
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Fusion of Character Tables and Schur Rings of Dihedral Groups
… The theory is developed in terms of S-ring of Schur and Wielandt.
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Schur-class of finitely connected planar domains: the test-function approach
… to a integral Agler decomposition for the matrix Schur class over 𝐑 (holomorphic contractive matrix-valued functions over 𝐑). Application of a general theory of abstract Schur-class generated by a collection of test functions leads to a transfer-function realization for the matrix Schur-class over …
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Hessian Matrix-Free Lagrange-Newton-Krylov-Schur-Schwarz Methods for Elliptic Inverse Problems
… an inner-outer structure, taking the form of a Schur complement (block factorization) at the outer level and Schwarz projections at the inner level. However, building an exact Schur complement is prohibitively expensive. Thus, we use Schur complement approximations, including the identity, …
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Applications of coherent classical communication and the Schur transform to quantum information theory
… half and an efficient quantum circuit for the Schur transform in the second half. The first part of this thesis (Chapters 1-4) is in fact built around two loosely overlapping themes. One is quantum Shannon theory, a broad class of coding theorems that includes Shannon and Schumacher data …
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Applications of Schur rings in algebraic combinatorics: graphs, partial difference sets and cyclotomic schemes
The concept of Schur rings was introduced in 1933 by I. Schur. For several decades applications of Schur rings were restricted to the investigation of permutation groups. Starting in the fifties, similar concepts like association schemes, cellular algebras and coherent configurations were …
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Multipliers of dynamical systems
Herz–Schur multipliers of a locally compact group have a well developed theory coming from a large literature; they have proved very useful in the study of the reduced C∗-algebra of a locally compact group. There is also a rich connection to Schur multipliers,which have been studied since the early …
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Multiparameter BCn-Kostka-Foulkes Polynomials
… polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of BCn Macdonald spherical functions, with multiparameter Kostka-Foulkes polynomials acting as the change of basis from the BC_n spherical functions …
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High-performance algorithms to solve Toeplitz and block Toeplitz matrices
… algorithms to factor Toeplitz matrices are the Schur and the Levinson-Durbin. The former factors the Toeolitz matrix itself while the latter factors the inverse. In this thesis, we present several high performance variants of the classical Schur algorithm to factor various Toeplitz matrices. For …
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Weintrauben, Polynome, Tableaux
… Sie stellen eine Verallgemeinerung der bekannten Schur Polynome dar. Für ein Schur Polynom gibt es eine kombinatorische Interpretation. Es ist die erzeugende Funktion von Tableaux mit vorgegebenen Eigenschaften. In dieser Arbeit wird eine neue kombinatorische Struktur definiert (= Weintrauben). …
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The Complete and Elementary Symmetric Functions as Quotients of Determinants
The standard definition of a Schur symmetric function, is as a quotient of a determinant
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On projective representations on funite abelian group
Saeed [11] has considered Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups. Our objective here is to determine the Inequivalent Irreducible projective …
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