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The generalized Racah algebra as a commutant [PDF]
Journal of Physics: Conference Series, 2018 The Racah algebra R(n) of rank (n − 2) is obtained as the commutant of the o ( 2 ) ⊕ n subalgebra of o ( 2 n ) in oscillator representations of the universal algebra of o ( 2 n ) .
J. Gaboriaud +3 more
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Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023 Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
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Hecke algebras and the Schlichting completion for discrete quantum groups
Journal of the London Mathematical Society, Volume 107, Issue 3, Page 843-885, March 2023., 2023 Abstract We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In order to investigate their analytic properties we adapt the construction of the Schlichting completion to the quantum setting, thus obtaining locally compact quantum ...
Adam Skalski +2 more
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Journal of Function Spaces, 2022 In this paper, we completely characterize the reducing subspaces for Tφa on weighted Hardy space ℋω2D2 under three assumptions on ω, where φa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1.
Changguo Wei, Xin Ding, Yanyue Shi
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The Racah algebra as a commutant and Howe duality [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 The Racah algebra encodes the bispectrality of the eponym polynomials. It is known to be the symmetry algebra of the generic superintegrable model on the -sphere.
J. Gaboriaud +3 more
semanticscholar +1 more source
On the Grothendieck–Serre conjecture for classical groups
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 2884-2926, December 2022., 2022 Abstract We prove some new cases of the Grothendieck–Serre conjecture for classical groups. This is based on a new construction of the Gersten–Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue maps; the complex is shown to be exact when the ring is of dimension ⩽2$\leqslant 2$ (or ⩽
Eva Bayer‐Fluckiger +2 more
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Characterizations of Double Commutant Property on BH
Journal of Function Spaces, 2021 Let H be a complex Hilbert space. Denote by BH the algebra of all bounded linear operators on H. In this paper, we investigate the non-self-adjoint subalgebras of BH of the form T+B, where B is a block-closed bimodule over a masa and T is a subalgebra of
Chaoqun Chen +3 more
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Operators with commutative commutants.
Michigan Mathematical Journal, 1988 Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
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Hidden Sectors from Multiple Line Bundles for the B−L$B-L$ MSSM
Fortschritte der Physik, Volume 70, Issue 7-8, August 2022., 2022 Abstract We give a formalism for constructing hidden sector bundles as extensions of sums of line bundles in heterotic M‐theory. Although this construction is generic, we present it within the context of the specific Schoen threefold that leads to the physically realistic B−L$B-L$ MSSM model.
Anthony Ashmore +2 more
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Universal elements of unitriangular matrices groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 The following theorems are proved for a matrix g from the group of unitriangular matrices over a commutative and associative ring K of finite dimension of greater than three with unity: 1) if the matrix g is universal then all of its elements are on the
A.A. Konyrkhanova, N.G. Khisamiev
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