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Monomial bases of quantized enveloping algebras of finite type
quantized enveloping algebra Hall algeba monomial basis
2011/9/28
In this paper we present a systematic construction of monomial bases for all quantized enveloping algebras of finite type, which generalizes the main result in [4] for simply laced case.
Convergence results in continuous-time quantized consensus
Convergence results continuous-time quantized consensus Optimization and Control
2011/9/15
Abstract: This note studies a network of agents having continuous-time dynamics with quantized interactions and time-varying topology. We show that under a mild connectivity condition, the agents reac...
Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings
Poisson Ideals Cluster Algebras the Spectra of Quantized Coordinate Rings Quantum Algebra
2011/9/6
Abstract: We describe the Poisson ideals and attached symplectic geometry of a cluster algebra with compatible Poisson structure. We apply these results to determine the spectrum of a quantum cluster ...
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
Cellular and quasihereditary structures of generalized quantized Schur algebras
Cellular quasihereditary structures generalized quantized Schur algebras
2011/3/1
We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups.
Two different "wave chaotic" systems, involving complex eigenvalues or resonances, can be analyzed using common semiclassical methods. In particular, one obtains fractal Weyl upper bounds for the den...
A Decoding Approach to Fault Tolerant Control of Linear Systems with Quantized Disturbance Input
Decoding Linear Systems Quantized Disturbance Input
2010/11/19
The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of techn...
Entropic Force,$\mathfrak{HeunB}$ and Quantized Black Hole
Entropic Force $\mathfrak{HeunB}$ Quantized Black Hole
2010/12/15
Following the simple proposal by He and Ma [1] for quantization of a Black Hole(BH),we superficial solved the associated Schr˝odinger equation for this system.The eigenfunction problem leads to o...