Results 71 to 80 of about 3,905 (118)
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
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Triangular decompositions: Reedy algebras and quasi-hereditary algebras
Finite-dimensional Reedy algebras form a ring-theoretic analogue of Reedy categories and were recently proved to be quasi-hereditary. We identify Reedy algebras with quasi-hereditary algebras admitting a triangular (or Poincaré-Birkhoff-Witt type) decomposition into the tensor product of two oppositely directed subalgebras over a common semisimple ...
Conde, Teresa +2 more
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Strong Exact Borel Subalgebras of Quasi-Hereditary Algebras
Exact and strong Borel subalgebras of quasi-hereditary algebras were introduced by the reviewer [see Math. Z. 220, No. 3, 399-426 (1995; Zbl 0841.16013)] to mimick the situation for Lie algebras. Existence is granted for blocks of category \(\mathcal O\) and in a few other situations, but not in general. A natural problem is uniqueness.
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Endomorphism Algebras of F(Δ) over Quasi-hereditary Algebras
Abstract Let A be a finite-dimensional algebra over an algebraically closed field. If A is an F (Δ)-finite quasi-hereditary algebra, then the endomorphism algebra of the direct sum of all non-isomorphic indecomposable Δ-good modules over A is quasi-hereditary.
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Quasi-Hereditary Orderings of Nakayama Algebras
Let $A$ be an algebra with iso-class of simple modules $\mathcal{S}$ of cardinality $n$. A total ordering on $\mathcal{S}$ making every Weyl module Schurian and every indecomposable projective module filtered by the Weyl modules is called to be a quasi-hereditary ordering or $q$-ordering on $A$ and $A$ is a quasi-hereditary algebra under this ordering.
Zhang, Yuehui, Zhong, Xiaoqiu
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Koszul duality for stratified algebras I. Quasi-hereditary algebras
We give a complete picture of the interaction between Koszul and Ringel dualities for quasi-hereditary algebras admitting linear tilting (co)resolutions of standard and costandard modules. We show that such algebras are Koszul, that the class of these algebras is closed with respect to both dualities and that on this class these two dualities commute ...
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A construction for quasi-hereditary algebras
Let \(C\), \(D\) be rings, \({}_CS_D\), \({}_DT_C\) bimodules, \(\gamma: {}_CS_D\otimes {}_DT_C\to {}_CC_C\) a bimodule homomorphism, \(\mathcal T(S,T)\) the tensor algebra of the \(C\times D - D\times C\)-bimodule \(S\oplus T\) and \(A(\gamma)={\mathcal T}(S,T)/R(\gamma)\) where R(\(\gamma)\) is the ideal of \(\mathcal T(S,T)\) generated by all ...
Dlab, Vlastimil, Ringel, Claus Michael
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Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients. [PDF]
Haiden F, Katzarkov L, Simpson C.
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