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Tridiagonal pairs of q-Racah type

Tridiagonal pairs of q-Racah type
Let F denote an algebraically closed field and let V denote a vector space over F with finite positive dimension. We consider a pair of linear transformations A : V → V and A* : V → V that satisfy the following conditions: (i) each of A, A* is diagonalizable; (ii) there exists an ordering {Vi}i = 0d of the eigenspaces of A such that A* Vi ⊆ Vi - 1 + Vi
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The shape of a tridiagonal pair

The shape of a tridiagonal pair
Let denote an algebraically closed field with characteristic 0. Let V denote a vector space over with finite positive dimension and let A,A* denote a tridiagonal pair on V. We make an assumption about this pair. Let q denote a nonzero scalar in that is not a root of unity.
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Self-assembly of generative heterogeneous electric circuits. [PDF]

Sci Rep
Garzon M, Deaton R.
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Dimension matters when modeling network communities in hyperbolic spaces. [PDF]

PNAS Nexus, 2023
Désy B, Desrosiers P, Allard A.
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On O ( n ) algorithms for projection onto the top- k -sum sublevel set. [PDF]

Math Program Comput
Roth J, Cui Y.
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Quantum electrodynamics of time-varying gratings. [PDF]

Proc Natl Acad Sci U S A, 2023
Horsley SAR, Pendry JB.
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A classification of sharp tridiagonal pairs

A classification of sharp tridiagonal pairs
Let F denote a field and let V denote a vector space over F with finite positive dimension. We consider a pair of linear transformations A : V → V and A* : V → V that satisfy the following conditions: (i) each of A, A* is diagonalizable; (ii) there exists an ordering {Vi}i = 0d of the eigenspaces of A such that A* Vi ⊆ Vi - 1 + Vi + Vi + 1 for 0 ≤ i ...
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Exploring New Algorithms for Molecular Vibrational Spectroscopy Using Physics-Informed Program Synthesis. [PDF]

J Chem Theory Comput
Acheson K, Habershon S.
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Image Stitching Based on Color Difference and KAZE with a Fast Guided Filter. [PDF]

Sensors (Basel), 2023
Zhang C, Wang D, Sun H.
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CLT for β -Ensembles at High Temperature and for Integrable Systems: A Transfer Operator Approach. [PDF]

Ann Henri Poincare
Mazzuca G, Memin R.
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