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Some $q$-exponential formulas involving the double lowering operator $��$ for a tridiagonal pair
25 pages.
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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
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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Exact Solution and Large-Scale Scaling Analysis of the Imaginary Creutz-Stark Ladder. [PDF]
Qi Y +5 more
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Hearing the shape of a drum for light: isospectrality in photonics. [PDF]
Park S, Lee I, Kim J, Park N, Yu S.
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Self-assembly of generative heterogeneous electric circuits. [PDF]
Garzon M, Deaton R.
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Absolute Binding Free Energy Calculations for Buried Water Molecules. [PDF]
Ge Y, Baumann HM, Mobley DL.
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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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On O ( n ) algorithms for projection onto the top- k -sum sublevel set. [PDF]
Roth J, Cui Y.
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MEMS Electrostatically Driven Coupled Beam Filter Banks. [PDF]
Syms R, Bouchaala A.
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